Academic literature on the topic 'Other generalizations of groups'

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Journal articles on the topic "Other generalizations of groups"

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Davvaz, B., and O. Ratnabala Devi. "A Study on Fuzzy Ideals of N-Groups." Algebra 2013 (September 26, 2013): 1–7. http://dx.doi.org/10.1155/2013/594636.

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Using the idea of the new sort of fuzzy subnear-ring of a near-ring, fuzzy subgroups, and their generalizations defined by various researchers, we try to introduce the notion of (ϵ,ϵ∨q)-fuzzy ideals of N-groups. These fuzzy ideals are characterized by their level ideals, and some other related properties are investigated.
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Milea, Suzana, Christopher D. Shelley, and Martin H. Weissman. "Arithmetic of arithmetic Coxeter groups." Proceedings of the National Academy of Sciences 116, no. 2 (December 26, 2018): 442–49. http://dx.doi.org/10.1073/pnas.1809537115.

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In the 1990s, J. H. Conway published a combinatorial-geometric method for analyzing integer-valued binary quadratic forms (BQFs). Using a visualization he named the “topograph,” Conway revisited the reduction of BQFs and the solution of quadratic Diophantine equations such as Pell’s equation. It appears that the crux of his method is the coincidence between the arithmetic group PGL2(Z) and the Coxeter group of type (3,∞). There are many arithmetic Coxeter groups, and each may have unforeseen applications to arithmetic. We introduce Conway’s topograph and generalizations to other arithmetic Coxeter groups. This includes a study of “arithmetic flags” and variants of binary quadratic forms.
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WILLIAMS, GERALD. "LARGENESS AND SQ-UNIVERSALITY OF CYCLICALLY PRESENTED GROUPS." International Journal of Algebra and Computation 22, no. 04 (June 2012): 1250035. http://dx.doi.org/10.1142/s021819671250035x.

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Largeness, SQ-universality, and the existence of free subgroups of rank 2 are measures of the complexity of a finitely presented group. We obtain conditions under which a cyclically presented group possesses one or more of these properties. We apply our results to a class of groups introduced by Prishchepov which contains, amongst others, the various generalizations of Fibonacci groups introduced by Campbell and Robertson.
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Bauer, Kristine, Debasis Sen, and Peter Zvengrowski. "A generalized Goursat lemma." Tatra Mountains Mathematical Publications 64, no. 1 (September 1, 2015): 1–19. http://dx.doi.org/10.1515/tmmp-2015-0039.

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Abstract In this note the usual Goursat lemma, which describes subgroups of the direct product of two groups, is generalized to describing subgroups of a direct product A1 × A2 × · · · × An of a finite number of groups. Other possible generalizations are discussed and applications characterizing several types of subgroups are given. Most of these applications are straightforward, while somewhat deeper applications occur in the case of profinite groups, cyclic groups, and the Sylow p-subgroups (including infinite groups that are virtual p-groups).
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Detomi, Eloisa, Marta Morigi, and Pavel Shumyatsky. "Words of Engel type are concise in residually finite groups." Bulletin of Mathematical Sciences 09, no. 02 (August 2019): 1950012. http://dx.doi.org/10.1142/s1664360719500127.

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Given a group-word [Formula: see text] and a group [Formula: see text], the verbal subgroup [Formula: see text] is the one generated by all [Formula: see text]-values in [Formula: see text]. The word [Formula: see text] is said to be concise if [Formula: see text] is finite whenever the set of [Formula: see text]-values in [Formula: see text] is finite. In 1960s, Hall asked whether every word is concise but later Ivanov answered this question in the negative. On the other hand, Hall’s question remains wide open in the class of residually finite groups. In the present paper we show that various generalizations of the Engel word are concise in residually finite groups.
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Shum, Michael, Max Kleiman-Weiner, Michael L. Littman, and Joshua B. Tenenbaum. "Theory of Minds: Understanding Behavior in Groups through Inverse Planning." Proceedings of the AAAI Conference on Artificial Intelligence 33 (July 17, 2019): 6163–70. http://dx.doi.org/10.1609/aaai.v33i01.33016163.

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Human social behavior is structured by relationships. We form teams, groups, tribes, and alliances at all scales of human life. These structures guide multi-agent cooperation and competition, but when we observe others these underlying relationships are typically unobservable and hence must be inferred. Humans make these inferences intuitively and flexibly, often making rapid generalizations about the latent relationships that underlie behavior from just sparse and noisy observations. Rapid and accurate inferences are important for determining who to cooperate with, who to compete with, and how to cooperate in order to compete. Towards the goal of building machine-learning algorithms with human-like social intelligence, we develop a generative model of multiagent action understanding based on a novel representation for these latent relationships called Composable Team Hierarchies (CTH). This representation is grounded in the formalism of stochastic games and multi-agent reinforcement learning. We use CTH as a target for Bayesian inference yielding a new algorithm for understanding behavior in groups that can both infer hidden relationships as well as predict future actions for multiple agents interacting together. Our algorithm rapidly recovers an underlying causal model of how agents relate in spatial stochastic games from just a few observations. The patterns of inference made by this algorithm closely correspond with human judgments and the algorithm makes the same rapid generalizations that people do.
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Mantaci, R., and C. Reutenauerf. "A generalization of solomon’s algebra for hyperoctahedral groups and other wreath products." Communications in Algebra 23, no. 1 (January 1995): 27–56. http://dx.doi.org/10.1080/00927879508825205.

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Dobrynina, I. V., and E. L. Turenova. "ON ALGORITHMIC SOLVABILITY OF THE PROBLEM OF GENERALIZED CONJUGACY OF SUBGROUPS IN COXETER GROUPS WITH A TREE STRUCTURE." SOFT MEASUREMENTS AND COMPUTING 1, no. 2 (2021): 7–14. http://dx.doi.org/10.36871/2618-9976.2021.02.001.

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The main algorithmic problems of combinatorial group theory posed by M. Den and G. Titze at the beginning of the twentieth century are the problems of word, word conjugacy and of group isomorphism. However, these problems, as follows from the results of P.S. Novikov and S.I. Adyan, turned out to be unsolvable in the class of finitely defined groups. Therefore, algorithmic problems began to be considered in specific classes of groups. The word conjugacy problem allows for two generalizations. On the one hand, we consider the problem of conjugacy of subgroups, that is, the problem of constructing an algorithm that allows for any two finitely generated subgroups to determine whether they are conjugate or not. On the other hand, the problem of generalized conjugacy of words is posed, that is, the problem of constructing an algorithm that allows for any two finite sets of words to determine whether they are conjugated or not. Combining both of these generalizations into one, we obtain the problem of generalized conjugacy of subgroups. Coxeter groups were introduced in the 30s of the last century, and the problems of equality and conjugacy of words are algorithmically solvable in them. To solve other algorithmic problems, various subclasses are distinguished. This is partly due to the unsolvability in Coxeter groups of another important problem – the problem of occurrence, that is, the problem of the existence of an algorithm that allows for any word and any finitely generated subgroup of a certain group to determine whether this word belongs to this subgroup or not. The paper proves the algorithmic solvability of the problem of generalized conjugacy of subgroups in Coxeter groups with a tree structure.
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Bouterse, Leah, and Cara Wall-Scheffler. "Children are not like other loads: a cross-cultural perspective on the influence of burdens and companionship on human walking." PeerJ 6 (September 12, 2018): e5547. http://dx.doi.org/10.7717/peerj.5547.

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A major portion of humans’ activity-based energy expenditure is taken up by locomotion, particularly walking. Walking behaviors have energetic outcomes and as such can be important windows into how populations and groups adjust to different environmental and task constraints. While sex differences in the speed of paired walkers have been established by others, the dynamics of how walkers adjust their speed in more varied groups and in groups containing children remains unexplored. Furthermore, little ecological data exists to illustrate the relationships between walking speed and child-carrying. Here, we aim to determine how culture impacts the effects of group composition and infant-carrying on walking speed. Because the determinants of group dynamics and parental investment are partially cultural, we examine walking behavior in the Northwestern United States and in Central Uganda. Using an observational method, we recorded the speed, load carriage, and group composition of pedestrians in a single naturalistic urban environment within each country. Our data suggest that children are treated fundamentally differently than other loads or the presence of walking partners, and that major speed adjustments are child-dependent. Our data furthermore indicate that Ugandans walk more slowly in groups than when alone, while Americans walk more quickly in groups. Clear distinctions between the groups make large generalizations about walking behavior difficult, and highlight the importance of culturally specific contexts.
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Jorgenson, Jay, Lejla Smajlović, and Holger Then. "Certain aspects of holomorphic function theory on some genus-zero arithmetic groups." LMS Journal of Computation and Mathematics 19, no. 2 (2016): 360–81. http://dx.doi.org/10.1112/s1461157016000425.

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There are a number of fundamental results in the study of holomorphic function theory associated to the discrete group $\operatorname{PSL}(2,\mathbb{Z})$, including the following statements: the ring of holomorphic modular forms is generated by the holomorphic Eisenstein series of weights four and six, denoted by $E_{4}$ and $E_{6}$; the smallest-weight cusp form $\unicode[STIX]{x1D6E5}$ has weight twelve and can be written as a polynomial in $E_{4}$ and $E_{6}$; and the Hauptmodul $j$ can be written as a multiple of $E_{4}^{3}$ divided by $\unicode[STIX]{x1D6E5}$. The goal of the present article is to seek generalizations of these results to some other genus-zero arithmetic groups $\unicode[STIX]{x1D6E4}_{0}(N)^{+}$ with square-free level $N$, which are related to ‘Monstrous moonshine conjectures’. Certain aspects of our results are generated from extensive computer analysis; as a result, many of the space-consuming results are made available on a publicly accessible web site. However, we do present in this article specific results for certain low-level groups.
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Dissertations / Theses on the topic "Other generalizations of groups"

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Ervin, Jason. "On O-basis groups and generalizations." Auburn, Ala., 2007. http://repo.lib.auburn.edu/07M%20Dissertations/ERVIN_JASON_11.pdf.

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Dobson, Edward T. (Edward Tauscher). "Ádám's Conjecture and Its Generalizations." Thesis, University of North Texas, 1990. https://digital.library.unt.edu/ark:/67531/metadc504440/.

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This paper examines idam's conjuecture and some of its generalizations. In terms of Adam's conjecture, we prove Alspach and Parson's results f or Zpq and ZP2. More generally, we prove Babai's characterization of the CI-property, Palfy's characterization of CI-groups, and Brand's result for Zpr for polynomial isomorphism's. We also prove for the first time a characterization of the CI-property for 1 SG, and prove that Zn is a CI-Pn-group where Pn is the group of permutation polynomials on Z,, and n is square free.
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Zhang, Xiankun. "Generalizations of colorability and connectivity of graphs." Morgantown, W. Va. : [West Virginia University Libraries], 1998. http://etd.wvu.edu/templates/showETD.cfm?recnum=333.

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Thesis (Ph. D.)--West Virginia University, 1998.
Title from document title page. Document formatted into pages; contains vii, 97 p. : ill. Includes abstract. Includes bibliographical references (p. 93-96).
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Hofmann, Natalie. "Hill's theorem of formal groups : applications, generalizations and counterexamples." Thesis, McGill University, 1993. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=68183.

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One-dimensional formal groups were classified by W. Hill who showed in particular that one-dimensional formal groups are isomorphic over p-adic integers if and only if they have the same associated Eisenstein polynomial. This result can be applied to show that the torsion points on any supersingular elliptic curve over the field of p-adic numbers generate abelian extensions of the unramified quadradic extension of the field. The theorem cannot be extended to classify formal groups of higher dimension. Counterexamples will be provided both in the case of two-dimensional formal groups and when the formal group is defined over an extension of the p-adic integers. Constructions and classifications of higher dimensional formal groups due to T. Nakamura and M. Hazewinkel will also be explored.
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Wellen, George Arthur. "Branch groups and automata." Thesis, University of Oxford, 2008. http://ora.ox.ac.uk/objects/uuid:b0be5468-cce9-421b-85be-c386d7c3808a.

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The focus of this thesis is finitely generated subgroups of the automorphism group of an infinite spherically homogeneous rooted tree (regular or irregular). The first chapter introduces the topic and outlines the main results. The second chapter provides definitions of the terminology used, and also some preliminary results. The third chapter introduces a group that appears to be a promising candidate for a finitely generated group of infinite upper rank with finite upper $p$-rank for all primes $p$. It goes on to demonstrate that in fact this group has infinite upper $p$-rank for all primes $p$. As a by-product of this construction, we obtain a finitely generated branch group with quotients that are virtually-(free abelian of rank $n$) for arbitrarily large $n$. The fourth chapter gives a complete classification of ternary automata with $C_2$-action at the root, and a partial classification of ternary automata with $C_3$-action at the root. The concept of a `windmill automaton' is introduced in this chapter, and a complete classification of binary windmill automata is given. The fifth chapter contains a detailed study of the non-abelian ternary automata with $C_3$-action at the root. It also contains some conjectures about possible isomorphisms between these groups.
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Kielak, Dawid. "Free and linear representations of outer automorphism groups of free groups." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:f2045fba-1546-4dd3-af9f-7d02c4fc505e.

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For various values of n and m we investigate homomorphisms from Out(F_n) to Out(F_m) and from Out(F_n) to GL_m(K), i.e. the free and linear representations of Out(F_n) respectively. By means of a series of arguments revolving around the representation theory of finite symmetric subgroups of Out(F_n) we prove that each homomorphism from Out(F_n) to GL_m(K) factors through the natural map p_n from Out(F_n) to GL(H_1(F_n,Z)) = GL_n(Z) whenever n=3, m < 7 and char(K) is not an element of {2,3}, and whenever n>5, m< n(n+1)/2 and char(K) is not an element of {2,3,...,n+1}. We also construct a new infinite family of linear representations of Out(F_n) (where n > 2), which do not factor through p_n. When n is odd these have the smallest dimension among all known representations of Out(F_n) with this property. Using the above results we establish that the image of every homomorphism from Out(F_n) to Out(F_m) is finite whenever n=3 and n < m < 6, and of cardinality at most 2 whenever n > 5 and n < m < n(n-1)/2. We further show that the image is finite when n(n-1)/2 -1 < m < n(n+1)/2. We also consider the structure of normal finite index subgroups of Out(F_n). If N is such then we prove that if the derived subgroup of the intersection of N with the Torelli subgroup T_n < Out(F_n) contains some term of the lower central series of T_n then the abelianisation of N is finite.
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Craven, David Andrew. "Algebraic modules for finite groups." Thesis, University of Oxford, 2007. http://ora.ox.ac.uk/objects/uuid:7f641b33-d301-4445-8269-a5a33f4b7e5e.

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The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with integer co-efficients in the Green ring---in various finite groups, as well as their general theory. In particular, we ask the question `when are all the simple modules for a finite group G algebraic?' We call this the (p-)SMA property. The first chapter introduces the topic and deals with preliminary results, together with the trivial first results. The second chapter provides the general theory of algebraic modules, with particular attention to the relationship between algebraic modules and the composition factors of a group, and between algebraic modules and the Heller operator and Auslander--Reiten quiver. The third chapter concerns itself with indecomposable modules for dihedral and elementary abelian groups. The study of such groups is both interesting in its own right, and can be applied to studying simple modules for simple groups, such as the sporadic groups in the final chapter. The fourth chapter analyzes the groups PSL(2,q); here we determine, in characteristic 2, which simple modules for PSL(2,q) are algebraic, for any odd q. The fifth chapter generalizes this analysis to many groups of Lie type, although most results here are in defining characteristic only. Notable exceptions include the small Ree groups, which have the 2-SMA property for all q. The sixth and final chapter focuses on the sporadic groups: for most groups we provide results on some simple modules, and some of the groups are completely analyzed in all characteristics. This is normally carried out by restricting to the Sylow p-subgroup. This thesis develops the current state of knowledge concerning algebraic modules for finite groups, and particularly for which simple groups, and for which primes, all simple modules are algebraic.
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Riley, Timothy Rupert. "Asymptotic invariants of infinite discrete groups." Thesis, University of Oxford, 2002. http://ora.ox.ac.uk/objects/uuid:30f42f4c-e592-44c2-9954-7d9e8c1f3d13.

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Asymptotic cones. A finitely generated group has a word metric, which one can scale and thereby view the group from increasingly distant vantage points. The group coalesces to an "asymptotic cone" in the limit (this is made precise using techniques of non-standard analysis). The reward is that in place of the discrete group one has a continuous object "that is amenable to attack by geometric (e.g. topological, infinitesimal) machinery" (to quote Gromov). We give coarse geometric conditions for a metric space X to have N-connected asymptotic cones. These conditions are expressed in terms of certain filling functions concerning filling N-spheres in an appropriately coarse sense. We interpret the criteria in the case where X is a finitely generated group Γ with a word metric. This leads to upper bounds on filling functions for groups with simply connected cones -- in particular they have linearly bounded filling length functions. We prove that if all the asymptotic cones of Γ are N-connected then Γ is of type FN+1 and we provide N-th order isoperimetric and isodiametric functions. Also we show that the asymptotic cones of a virtually polycyclic group Γ are all contractible if and only if Γ is virtually nilpotent. Combable groups and almost-convex groups. A combing of a finitely generated group Γ is a normal form; that is a choice of word (a combing line) for each group element that satisfies a geometric constraint: nearby group elements have combing lines that fellow travel. An almost-convexity condition concerns the geometry of closed balls in the Cayley graph for Γ. We show that even the most mild combability or almost-convexity restrictions on a finitely presented group already force surprisingly strong constraints on the geometry of its word problem. In both cases we obtain an n! isoperimetric function, and upper bounds of ~ n2 on both the minimal isodiametric function and the filling length function.
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Kracht, Darci L. "Applications of the Artin-Hasse Exponential Series and Its Generalizations to Finite Algebra Groups." Kent State University / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=kent1322505829.

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Fink, Elisabeth. "On some non-periodic branch groups." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:e8aec0f9-e60f-457c-87d1-0780720e2cae.

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Books on the topic "Other generalizations of groups"

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Dynamical systems and group actions. Providence, R.I: American Mathematical Society, 2012.

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Morse, Robert Fitzgerald, editor of compilation, Nikolova-Popova, Daniela, 1952- editor of compilation, and Witherspoon, Sarah J., 1966- editor of compilation, eds. Group theory, combinatorics and computing: International Conference in honor of Daniela Nikolova-Popova's 60th birthday on Group Theory, Combinatorics and Computing, October 3-8, 2012, Florida Atlantic University, Boca Raton, Florida. Providence, Rhode Island: American Mathematical Society, 2013.

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1974-, Nelson Sam, ed. Quandles: An introduction to the algebra of knots. Providence, Rhode Island: American Mathematical Society, 2015.

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W, Weston K., ed. Generalizations of Steinberg groups. Singapore: World Scientific, 1996.

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Igodt, Paul, Herbert Abels, Yves Félix, and Fritz Grunewald, eds. Crystallographic Groups and Their Generalizations. Providence, Rhode Island: American Mathematical Society, 2000. http://dx.doi.org/10.1090/conm/262.

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Haboush, William, and Brian Parshall, eds. Algebraic Groups and Their Generalizations: Classical Methods. Providence, Rhode Island: American Mathematical Society, 1994. http://dx.doi.org/10.1090/pspum/056.1.

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1932-, Bass Hyman, and Lam, T. Y. (Tsit-Yuen), 1942-, eds. Algebra. Providence, R.I: American Mathematical Society, 2010.

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Arithmetic groups and their generalizations: What, why, and how. Providence, R.I: American Mathematical Society, 2008.

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Ali, S. Twareque. Coherent States, Wavelets and Their Generalizations. New York, NY: Springer New York, 2000.

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Mikov, Aleksandr. Generalized graphs and grammars. ru: INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/1013698.

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The textbook deals with ordinary graphs and their generalizations-hypergraphs, hierarchical structures, geometric graphs, random and dynamic graphs. Graph grammars are considered in detail. Meets the requirements of the federal state educational standards of higher education of the latest generation. For master's students studying in the areas of the 02.00.00 group "Computer and Information Sciences", and can also be used in senior bachelor's courses and other areas in the field of computer science and computer engineering.
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Book chapters on the topic "Other generalizations of groups"

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Li, Xueliang, Colton Magnant, and Zhongmei Qin. "Other Generalizations." In Properly Colored Connectivity of Graphs, 103–35. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-89617-5_11.

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Onishchik, A. L. "Generalizations of Lie Groups." In Encyclopaedia of Mathematical Sciences, 74–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-57999-8_5.

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Milhorn, H. Thomas. "Other Groups." In Substance Use Disorders, 317–30. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-63040-3_22.

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Buchmann, Johannes A. "Other Groups." In Introduction to Cryptography, 233–40. New York, NY: Springer US, 2001. http://dx.doi.org/10.1007/978-1-4684-0496-8_12.

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Karpenkov, Oleg. "Other Generalizations of Continued Fractions." In Geometry of Continued Fractions, 357–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39368-6_23.

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Robinson, Derek J. S. "Generalizations of Nilpotent and Soluble Groups." In A Course in the Theory of Groups, 342–70. New York, NY: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4684-0128-8_12.

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Tukia, Pekka. "Generalizations of Fuchsian and Kleinian Groups." In First European Congress of Mathematics Paris, July 6–10, 1992, 447–61. Basel: Birkhäuser Basel, 1994. http://dx.doi.org/10.1007/978-3-0348-9112-7_19.

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Lewis, Mark L. "Camina Groups, Camina Pairs, and Generalizations." In Group Theory and Computation, 141–73. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2047-7_8.

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Robinson, Derek J. S. "Generalizations of Nilpotent and Soluble Groups." In A Course in the Theory of Groups, 356–84. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4419-8594-1_12.

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Landman, Bruce, and Aaron Robertson. "Other generalizations of 𝑤(𝑘;𝑟)." In The Student Mathematical Library, 135–61. Providence, Rhode Island: American Mathematical Society, 2003. http://dx.doi.org/10.1090/stml/024/05.

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Conference papers on the topic "Other generalizations of groups"

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Hamm, Keaton, Benjamin Hayes, and Armenak Petrosyan. "Rearranged Fourier Series and Generalizations to Non-Commutative Groups." In 2019 13th International conference on Sampling Theory and Applications (SampTA). IEEE, 2019. http://dx.doi.org/10.1109/sampta45681.2019.9030904.

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Fang, Chien, and Li Nianzhong. "Urban Design Practice in "Instant New Towns"." In 1995 ACSA International Conference. ACSA Press, 1995. http://dx.doi.org/10.35483/acsa.intl.1995.46.

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Shenzhen is a lengendary city booming out from a small fishing village within ten years. It is situated at the south end of China, along eastern side of the Pearl River opening to the South China Sea. As one of the earliest of four Special Economic Zones in China since 198 1, Shenzhen has enjoyed a set of privileged economic policies and turned into an energetic metropolis with population of over three million. According to the strategic planning, Shenzhen will expand to an area of nearly 2000 square kilometers from 300 square kilometers right now. The local government seeks to realize 100% urbanization in Shenzhen in a short time. In other words, the whole outskirts and rural area will be urbanized. In the conprehensive plannning, the surburb, formerly Baoan county, is becoming another two districts (Baoan and Longgang) besides the existing three districts (Luohu, Futian, and Nanshan). The grouped structure of urban layout in the planning attempts to organize the present villages and towns in the outskii into 8 groups (4 in each district), which are assigned different priority urban bctions such as transportation, communication, industry, tourism, district centre, etc. Generalization of the project of Longgang District Planning Our project is concerned with the zone planning ofthe central group in Longgang district. It consists of Longgang, Pingdi, and Pingdi Centre, covers an area of over 180 square kilometers, and holds population of 200,000. According to the strategic plan, the group is to develop into the future admistrative, commercial, and cultural center of Longgang district. The study of urban design is one important field in our project.
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Cai, Yang, Constantinos Daskalakis, and S. Matthew Weinberg. "Reducing Revenue to Welfare Maximization: Approximation Algorithms and other Generalizations." In Proceedings of the Twenty-Fourth Annual ACM-SIAM Symposium on Discrete Algorithms. Philadelphia, PA: Society for Industrial and Applied Mathematics, 2013. http://dx.doi.org/10.1137/1.9781611973105.42.

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González, Yubiry, and Ronaldo Prati. "Characterization of the sonority associated to woodwinds instruments through spectral analysis." In Simpósio Brasileiro de Computação Musical. Sociedade Brasileira de Computação - SBC, 2019. http://dx.doi.org/10.5753/sbcm.2019.10452.

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The sonority is one of the definitions widely used by musicians when trying to define the color or timbral balances associated with individual or groups of instruments , such as for ensembles or orchestras. This definition obeys to subjective musical parameters associated with "color balance", "sound amplitude", among others. In the field of musical acoustics, it is well known that the sounds coming from musical instruments depend on several acoustic physical parameters such as Intensity, Frequency, and the number of harmonics, as well as other aspects including, association with its manufacturing process, such as geometry and materials used for construction. This work presents, from a spectral analysis of the timbre with the use of Fast Fourier Transform (FFT), Spectral Power Density (DPE) and Spectrograms, the characterization of the subjective concept of "sonority", for some instruments of the Woodwind family: Piccolo flute, transverse flute, clarinet and oboe. It is concluded that the stage of sound evolution as the attack and sustenance, allow the establishment of harmonics whose powers are fundamental to define the timbric "color" associated with each instrument, as well as the number of harmonics allowed to establish parameters of "sound identity", useful for the generation of a coefficient extracted from the obtained spectral analysis, which allows to advance in the characterization of the Sonority. The generalization of the method is suggested for all families of musical instruments.
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Ershov, A. A., and M. V. Pershakov. "On matching up the alpha-sets with other generalizations of convex sets." In VI Information school of a young scientist. Central Scientific Library of the Urals Branch of the Russian Academy of Sciences, 2018. http://dx.doi.org/10.32460/ishmu-2018-6-0017.

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Bruce P. Squires. "WAME, FAME, EMAME and other regional groups." In Workshop on Publishing for Biomedical Journal Editors and Reviewers. Kuala Lumpur, Malaysia: Department of Biomedical Imaging, University of Malaya, 2006. http://dx.doi.org/10.2349/biij.2.4.e54-14.

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Liu, Sulin, and Sinno Jialin Pan. "Adaptive Group Sparse Multi-task Learning via Trace Lasso." In Twenty-Sixth International Joint Conference on Artificial Intelligence. California: International Joint Conferences on Artificial Intelligence Organization, 2017. http://dx.doi.org/10.24963/ijcai.2017/328.

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In multi-task learning (MTL), tasks are learned jointly so that information among related tasks is shared and utilized to help improve generalization for each individual task. A major challenge in MTL is how to selectively choose what to share among tasks. Ideally, only related tasks should share information with each other. In this paper, we propose a new MTL method that can adaptively group correlated tasks into clusters and share information among the correlated tasks only. Our method is based on the assumption that each task parameter is a linear combination of other tasks' and the coefficients of the linear combination are active only if there is relatedness between the two tasks. Through introducing trace Lasso penalty on these coefficients, our method is able to adaptively select the subset of coefficients with respect to the tasks that are correlated to the task. Our model frees the process of determining task clustering structure as used in the literature. Efficient optimization methods based on alternating direction method of multipliers (ADMM) is developed to solve the problem. Experimental results on both synthetic and real-world datasets demonstrate the effectiveness of our method in terms of clustering related tasks and generalization performance.
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Makhnovsky, D. "ВОСТОК И ЗАПАД ЕВРОПЫ: НЕКОТОРЫЕ ИТОГИ РЕГИОНАЛЬНОГО РАЗВИТИЯ И ВЗАИМОДЕЙСТВИЯ." In Perspektivy social`no-ekonomicheskogo razvitiia prigranichnyh regionov 2019. Институт экономики - обособленное подразделение Федерального исследовательского центра "Карельский научный центр Российской академии наук", 2019. http://dx.doi.org/10.36867/br.2019.89.17.032.

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В статье рассматриваются исторические особенности социальноэкономического развития, межрегионального взаимодействия востока и запада Европы, представляющих эти регионы интеграционных группировок. С использованием современного статистического материала делаются некоторые выводы и обобщения. The article deals with the historical features of socioeconomic development, interregional cooperation of the East and West of Europe, representing these regions of integration groups. Some conclusions and generalizations are made using modern statistical material.
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"Shared Elements in Destiny between Jewish and Other Ethnic Groups." In 2020 3rd International Conference on e-Education, e-Business and Information Management. Clausius Scientific Press, 2020. http://dx.doi.org/10.23977/eeim2020011.

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CARLETTI, TIMOTEO, DUCCIO FANELLI, ALESSIO GUARINO, and ANDREA GUAZZINI. "MEET, DISCUSS AND TRUST EACH OTHER: LARGE VERSUS SMALL GROUPS." In Proceedings of Wivace 2008. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814287456_0019.

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Reports on the topic "Other generalizations of groups"

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Ilfen, Daniel R., Jillian Shairo, Eduardo Salas, and Howard Weiss. Functions of Group Goals: Possible Generalizations from Individuals to Groups. Fort Belvoir, VA: Defense Technical Information Center, December 1987. http://dx.doi.org/10.21236/ada203654.

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Shraa, Khalaf. Moral Teachings of Islam Not as Seen by Al Qaeda or Other Groups. Fort Belvoir, VA: Defense Technical Information Center, March 2005. http://dx.doi.org/10.21236/ada432025.

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Arrieta, Alejandra, Amir Hamza Jilani, Neha Kumar, and Agnes R. Quisumbing. Helping oneself, helping each other: Correlates of women’s participation in self-help groups. Washington, DC: International Food Policy Research Institute, 2019. http://dx.doi.org/10.2499/p15738coll2.133545.

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Aston, T. R. C. Visit report - Bedford Institute of Oceanography and Other Groups, Halifax, N.S., February 19 - 22, 1985. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 1985. http://dx.doi.org/10.4095/304803.

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Daveler, S. A., S. R. Lundeen, and J. W. Johnson. CNGBOCHS: An integrated Ingres-Interleaf system for processing change requests associated with GEMBOCHS, EQ3/6, and other research groups. Office of Scientific and Technical Information (OSTI), June 1993. http://dx.doi.org/10.2172/142560.

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Morck, Randall. How to Eliminate Pyramidal Business Groups - The Double Taxation of Inter-Corporate Dividends and Other Incisive Uses of Tax Policy. Cambridge, MA: National Bureau of Economic Research, December 2004. http://dx.doi.org/10.3386/w10944.

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Idris, Iffat. Increasing Birth Registration for Children of Marginalised Groups in Pakistan. Institute of Development Studies (IDS), July 2021. http://dx.doi.org/10.19088/k4d.2021.102.

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This review looks at approaches to promote birth registration among marginalised groups, in order to inform programming in Pakistan. It draws on a mixture of academic and grey literature, in particular reports by international development organizations. While there is extensive literature on rates of birth registration and the barriers to this, and consensus on approaches to promote registration, the review found less evidence of measures specifically aimed at marginalised groups. Gender issues are addressed to some extent, particularly in understanding barriers to registration, but the literature was largely disability-blind. The literature notes that birth registration is considered as a fundamental human right, allowing access to services such as healthcare and education; it is the basis for obtaining other identity documents, e.g. driving licenses and passports; it protects children, e.g. from child marriage; and it enables production of vital statistics to support government planning and resource allocation. Registration rates are generally lower than average for vulnerable children, e.g. from minority groups, migrants, refugees, children with disabilities. Discriminatory policies against minorities, restrictions on movement, lack of resources, and lack of trust in government are among the ‘additional’ barriers affecting the most marginalised. Women, especially unmarried women, also face greater challenges in getting births registered. General approaches to promoting birth registration include legal and policy reform, awareness-raising activities, capacity building of registration offices, integration of birth registration with health services/education/social safety nets, and the use of digital technology to increase efficiency and accessibility.
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Obado-Joel, Jennifer. The Challenge of State-Backed Internal Security in Nigeria: Considerations for Amotekun. RESOLVE Network, December 2020. http://dx.doi.org/10.37805/pn2020.9.ssa.

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Nigeria faces immense internal security challenges, including the Boko-Haram crisis in the northeast and violent farmer-herder conflicts in the southwest and north-central states. Across the Nigerian federation, pockets of violent clashes have sprung and escalated in new locales in the last decade. Community responses to these violent crises have been diverse and included the establishment of armed groups to supplement or act in parallel to the security efforts of the Nigerian state—in some cases with backing from federal or state governments. These local security assemblages, community-based armed groups (CBAGs), are on the one hand contributors to local order, and normative conceptions of peace and security. On the other hand, these groups are often a pernicious actor within the broader security landscape, undermining intercommunal peace and drivers of violence and human rights abuses. This Policy Note focuses on the characteristics, challenges, and opportunities of Amotekun, a recently formed CBAG in Southwest Nigeria. Drawing from the experiences of similar Nigerian groups, the Note details recommendations that may facilitate greater success and lessen poten al risk associated with Amotekun’s formation. These recommendations are aimed primarily at Nigerian government and civil society actors and describe areas where external support could potentially improve local capacity to conduct oversight of Amotekun and similar groups.
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Fazzari, Steven, and Ella Needler. US Employment Inequality in the Great Recession and the COVID-19 Pandemic. Institute for New Economic Thinking Working Paper Series, March 2021. http://dx.doi.org/10.36687/inetwp154.

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This article compares inequality in US employment across social groups in the Great Recession and the COVID-19 pandemic. We develop an inequality measure that captures both how much employment declines during a recession and the persistence of those declines. The results show a significant shift of job loss from men in the Great Recession to women in the COVID-19 lockdown. White workers fare better than other racial/ethnic groups in both recessions. Black and Hispanic women are hit especially hard in the COVID-19 pandemic. With our job loss measure, less educated workers had modestly worse outcomes in the Great Recession. However, during COVID-19, less educated workers suffer much more severe employment consequences than more educated groups. We discuss long-term effects of employment inequality and how these findings are relevant to debates about policy responses.
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Berger, J. M. A Paler Shade of White: Identity & In-group Critique in James Mason’s Siege. RESOLVE Network, April 2021. http://dx.doi.org/10.37805/remve2021.1.

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Discussions of extremist ideologies naturally focus on how in-groups criticize and attack out-groups. But many important extremist ideological texts are disproportionately focused criticizing their own in-group. This research report will use linkage-based analysis to examine Siege, a White nationalist tract that has played an important role shaping modern neo-Nazi movements, including such violent organizations as Atomwaffen Division and The Base. While Siege strongly attacks out-groups, including Jewish and Black people, the book is overwhelmingly a critique of how the White people of its in-group fall short of Nazi ideals. Siege’s central proposition—that the White in-group is disappointing, deeply corrupt, and complacent—shapes its argument for an “accelerationist” strategy to hasten the collapse of society in order to build something entirely new. Finally, this report briefly reviews comparable extremist texts from other movements to draw insights about how in-group critiques shape extremist strategies. These insights offer policymakers and law enforcement tools to anticipate and counter violent extremist strategies. They also highlight less-obvious avenues for potential counter-extremist interventions and messaging campaigns.
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