Relevant bibliographies by topics / General theory for finite groups

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'General theory for finite groups'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 February 2022

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Journal articles on the topic "General theory for finite groups"

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Hansen, Vagn Lundsgaard, and Peter Petersen. "Groups, Coverings and Galois Theory." Canadian Journal of Mathematics 43, no. 6 (December 1, 1991): 1281–93. http://dx.doi.org/10.4153/cjm-1991-073-0.

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AbstractFinite extensions of complex commutative Banach algebras are naturally related to corresponding finite covering maps between the carrier spaces for the algebras. In the case of function rings, the finite extensions are induced by the corresponding finite covering maps, and the topological properties of the coverings are strongly reflected in the algebraic properties of the extensions and conversely. Of particular interest to us is the class of finite covering maps for which the induced extensions of function rings admit primitive generators. This is exactly the class of polynomial covering maps and the extensions are algebraic extensions defined by the underlying Weierstrass polynomials.The purpose of this paper is to develop a suitable Galois theory for finite extensions of function rings induced by finite covering maps and to apply it in the case of Weierstrass polynomials and polynomial covering maps.
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Hanaki, Akihide, Masahiko Miyamoto, and Daisuke Tambara. "Quantum Galois theory for finite groups." Duke Mathematical Journal 97, no. 3 (April 1999): 541–44. http://dx.doi.org/10.1215/s0012-7094-99-09720-x.

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Levi, Ran. "On finite groups and homotopy theory." Memoirs of the American Mathematical Society 118, no. 567 (1996): 0. http://dx.doi.org/10.1090/memo/0567.

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Goyal, Pallav. "Invariant theory of finite general linear groups modulo Frobenius powers." Communications in Algebra 46, no. 10 (August 22, 2018): 4511–29. http://dx.doi.org/10.1080/00927872.2018.1448842.

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Meierfrankenfeld, U., G. Parmeggiani, and B. Stellmacher. "Baumann-components of finite groups of characteristic p, general theory." Journal of Algebra 515 (December 2018): 19–51. http://dx.doi.org/10.1016/j.jalgebra.2018.08.014.

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Hall, J. I. "The general theory of 3-transposition groups." Mathematical Proceedings of the Cambridge Philosophical Society 114, no. 2 (September 1993): 269–94. http://dx.doi.org/10.1017/s0305004100071589.

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A set D of 3-transpositions in the group G is a normal set of elements of order 2 such that, for all d and e in D, the order of the product de is 1, 2, or 3. If G is generated by the conjugacy class D of 3-transpositions, we say that (G, D) is a 3-transposition group or (loosely) that G is a 3-transposition group. The study of 3-transposition groups was instituted by Bernd Fischer [6, 7, 8] who classified all 3-transposition groups which are finite and have no non-trivial normal solvable subgroups. Recently the present author and H. Cuypers[5] extended Fischer's result to include all 3-transposition groups with trivial centre. For this classification the present paper provides the extension of Fischer's paper [8] where he gave two basic reductions, the Normal Subgroup Theorem and the Transitivity Theorem stated below. Other results of help in the classification are also presented here.
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Lubotzky, Alexander, and Avinoam Mann. "Residually finite groups of finite rank." Mathematical Proceedings of the Cambridge Philosophical Society 106, no. 3 (November 1989): 385–88. http://dx.doi.org/10.1017/s0305004100068110.

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The recent constructions, by Rips and Olshanskii, of infinite groups with all proper subgroups of prime order, and similar ‘monsters’, show that even under the imposition of apparently very strong finiteness conditions, the structure of infinite groups can be rather weird. Thus it seems reasonable to impose the type of condition that enables us to apply the theory of finite groups. Two such conditions are local finiteness and residual finiteness, and here we are interested in the latter. Specifically, we consider residually finite groups of finite rank, where a group is said to have rank r, if all finitely generated subgroups of it can be generated by r elements. Recall that a group is said to be virtually of some property, if it has a subgroup of finite index with this property. We prove the following result:Theorem 1. A residually finite group of finite rank is virtually locally soluble.
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Isaacs, I. M. "Book Review: Character theory of finite groups." Bulletin of the American Mathematical Society 36, no. 04 (July 22, 1999): 489–93. http://dx.doi.org/10.1090/s0273-0979-99-00789-2.

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Holt, Derek F. "Book Review: Theory of finite simple groups." Bulletin of the American Mathematical Society 46, no. 1 (September 15, 2008): 151–56. http://dx.doi.org/10.1090/s0273-0979-08-01215-9.

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Bruner, R. R., and J. P. C. Greenlees. "The connective 𝐾-theory of finite groups." Memoirs of the American Mathematical Society 165, no. 785 (2003): 0. http://dx.doi.org/10.1090/memo/0785.

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Dissertations / Theses on the topic "General theory for finite groups"

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Neman, Azadeh. "Propriétés combinatoires et modèle-théoriques des groupes." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00679429.

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Notre travail ici concerne certaines pistes pour des constructions nouveaux groupes, et en particulier de contre-exemples à la conjecture de Cherlin-Zilber. On parvient à trouver une réponse pour la stabilité de groupes CSA existentiellement clos. On exhibe un mot de groupe en deux variables qui a la propriété d'indépendance par rapport à la classe de groupes hyperboliques sans torsion. On en déduit que l'équation correspondante donne la propriété d'indépendance des groupes CSA existentiellement clos, ce qui en particulier implique leur instabilité. En outre, on prouve que les équations, et en particulier les ensembles définissables sans quantificateurs, définissent des ensembles stables dans les boules bornées des produits libres de groupes, en utilisant la version finie du théorème de Ramsey. Enfin, on introduit certains groupes construits comme tours particulières de produits libres et d'extensions HNN.
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Taylor, Paul Anthony. "Computational investigation into finite groups." Thesis, University of Manchester, 2011. https://www.research.manchester.ac.uk/portal/en/theses/computational-investigation-into-finite-groups(8fe69098-a2d0-4717-b8d3-c91785add68c).html.

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We briefly discuss the algorithm given in [Bates, Bundy, Perkins, Rowley, J. Algebra, 316(2):849-868, 2007] for determining the distance between two vertices in a commuting involution graph of a symmetric group.We develop the algorithm in [Bates, Rowley, Arch. Math. (Basel), 85(6):485-489, 2005] for computing a subgroup of the normalizer of a 2-subgroup X in a finite group G, examining in particular the issue of when to terminate the randomized procedure. The resultant algorithm is capable of handling subgroups X of order up to 512 and is suitable, for example, for matrix groups of large degree (an example calculation is given using 112x112 matrices over GF(2)).We also determine the suborbits of conjugacy classes of involutions in several of the sporadic simple groups?namely Janko's group J4, the Fischer sporadic groups, and the Thompson and Harada-Norton groups. We use our results to determine the structure of some graphs related to this data.We include implementations of the algorithms discussed in the computer algebra package MAGMA, as well as representative elements for the involution suborbits.
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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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Hutchinson, Samuel M. A. "The Morava cohomology of finite general linear groups." Thesis, University of Sheffield, 2017. http://etheses.whiterose.ac.uk/20464/.

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In this thesis, for all finite heights n and odd primes p, we compute the Morava E-theory and Morava K-theory of general linear groups over finite fields F of order q ≡ 1 mod p. We rephrase the problem in terms of V_*, the graded groupoid of vector spaces over F, and focus on the graded algebra and coalgebra structures induced from the direct sum functor. We use character theory to determine the ranks of E^0BV_* and K^0BV_*, and use this information to reverse engineer the Atiyah-Hirzebruch spectral sequence for K^*BV_* and K_*BV_*. We then use this result in two ways: we deduce that the algebra and coalgebra structures are free commutative and cofree cocommutative respectively, and we identify a lower bound for the nilpotence of the canonical top normalised Chern class in K^0BV_{p^k}. Following this we make use of algebro-geometric and Galois theoretic techniques to determine the indecomposables in Morava E-theory and K-theory, before using this calculation in conjunction with K-local duality and the nilpotence lower bound to determine the primitives of the coalgebra structure in Morava K-theory. Along the way, we show that E^0BV_* and K^0BV_* have structures similar to that of a graded Hopf ring, but with a modified version of the compatibility relation. We call such structures "graded faux Hopf rings".
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McHugh, John. "Monomial Characters of Finite Groups." ScholarWorks @ UVM, 2016. http://scholarworks.uvm.edu/graddis/572.

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An abundance of information regarding the structure of a finite group can be obtained by studying its irreducible characters. Of particular interest are monomial characters – those induced from a linear character of some subgroup – since Brauer has shown that any irreducible character of a group can be written as an integral linear combination of monomial characters. Our primary focus is the class of M-groups, those groups all of whose irreducible characters are monomial. A classical theorem of Taketa asserts that an M-group is necessarily solvable, and Dade proved that every solvable group can be embedded as a subgroup of an M-group. After discussing results related to M-groups, we will construct explicit families of solvable groups that cannot be embedded as subnormal subgroups of any M-group. We also discuss groups possessing a unique non-monomial irreducible character, and prove that such a group cannot be simple.
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Bamblett, Jane Carswell. "Algorithms for computing in finite groups." Thesis, University of Oxford, 1994. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240616.

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Brookes, Melanie. "On the efficiency of finite groups." Thesis, University of St Andrews, 1996. http://hdl.handle.net/10023/13682.

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In Chapter 2 of this thesis we look at methods for finding efficient presentations of the transitive permutation groups of degree ≤ 12. Chapter 3 gives efficient presentations for certain direct products of groups including PSL(2, P)2 SL(2, p) X SL(2, 8), PSL(2, p) x C2, for prime p ≥ 5 and PSL(2, 25)3. Chapter 4 introduces a new class of inefficient groups and Chapter 5 gives a brief survey of some of the open problems relating to the efficiency of finite groups.
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Stavis, Andreas. "Representations of finite groups." Thesis, Karlstads universitet, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-69642.

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Representation theory is concerned with the ways of writing elements of abstract algebraic structures as linear transformations of vector spaces. Typical structures amenable to representation theory are groups, associative algebras and Lie algebras. In this thesis we study linear representations of finite groups. The study focuses on character theory and how character theory can be used to extract information from a group. Prior to that, concepts needed to treat character theory, and some of their ramifications, are investigated. The study is based on existing literature, with excessive use of examples to illuminate important aspects. An example treating a class of p-groups is also discussed.
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Gutekunst, Todd M. "Subsets of finite groups exhibiting additive regularity." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file, 128 p, 2008. http://proquest.umi.com/pqdweb?did=1605136271&sid=5&Fmt=2&clientId=8331&RQT=309&VName=PQD.

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Basu, Devjani. "A THESIS ON BLOCK THEORY FOR FINITE GROUPS." OpenSIUC, 2020. https://opensiuc.lib.siu.edu/theses/2721.

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In this thesis, we relate the ordinary representation of a finite group, i.e. a representation over a field of characteristic $0$ to a representation over a field with characteristic $p$, called the modular representations, as, in the simplest of the sense, they are obtatined by reduction mod $p$. We are particularly interested in the situation, when $p$ divides the order of the group. This leads to the study of Brauer characters, decomposition matrix and eventually {\sl blocks} and its properties, along with a few enticing open conjectures related to blocks.
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Books on the topic "General theory for finite groups"

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The theory of fusion systems: An algebraic approach. Cambridge: Cambridge University Press, 2011.

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Flaminio, Flamini, ed. Finite commutative rings and their applications. Boston: Kluwer Academic Publishers, 2002.

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Bini, Gilberto. Finite commutative rings and their applications. Boston: Kluwer Academic Publishers, 2002.

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Germany) International Conference on Finite Fields and Applications (11th 2013 Magdeburg. Topics in finite fields: 11th International Conference on Finite Fields and Their Applications, July 22--26, 2013, Magdeburg, Germany. Edited by Kyureghyan Gohar 1974 editor, Mullen Gary L. editor, and Pott Alexander 1961 editor. Providence, Rhode Island: American Mathematical Society, 2015.

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Flannery, D. L. (Dane Laurence), 1965-, ed. Algebraic design theory. Providence, R.I: American Mathematical Society, 2011.

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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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Tao, Terence. Hilbert's fifth problem and related topics. Providence, Rhode Island: American Mathematical Society, 2014.

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Aschbacher, Michael. Finite group theory. Cambridge: C. U. P., 1994.

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Finite group theory. 2nd ed. Cambridge: Cambridge University Press, 2000.

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Finite group theory. Cambridge: Cambridge University Press, 1993.

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Book chapters on the topic "General theory for finite groups"

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Gorenstein, Daniel, Richard Lyons, and Ronald Solomon. "General group theory." In The Classification of the Finite Simple Groups, Number 2, 1–202. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/surv/040.2/01.

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Green, J. A. "Classical Invariants and the General Linear Group." In Representation Theory of Finite Groups and Finite-Dimensional Algebras, 247–72. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-8658-1_9.

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Dipper, Richard. "Polynomial representations of finite general linear groups in non-describing characteristic." In Representation Theory of Finite Groups and Finite-Dimensional Algebras, 343–70. Basel: Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-8658-1_14.

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Lie, Sophus. "Systems of Partial Differential Equations the General Solution of Which Depends Only Upon a Finite Number of Arbitrary Constants." In Theory of Transformation Groups I, 187–97. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46211-9_10.

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Hegenbarth, Friedrich. "On the K-theory of the classifying spaces of the general linear groups over finite fields." In Lecture Notes in Mathematics, 259–65. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0081479.

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Nuida, Koji. "Towards Constructing Fully Homomorphic Encryption without Ciphertext Noise from Group Theory." In International Symposium on Mathematics, Quantum Theory, and Cryptography, 57–78. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-5191-8_8.

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Abstract In CRYPTO 2008, 1 year earlier than Gentry’s pioneering “bootstrapping” technique for the first fully homomorphic encryption (FHE) scheme, Ostrovsky and Skeith III had suggested a completely different approach towards achieving FHE. They showed that the $$\mathsf {NAND}$$ operator can be realized in some non-commutative groups; consequently, homomorphically encrypting the elements of the group will yield an FHE scheme, without ciphertext noise to be bootstrapped. However, no observations on how to homomorphically encrypt the group elements were presented in their paper, and there have been no follow-up studies in the literature. The aim of this paper is to exhibit more clearly what is sufficient and what seems to be effective for constructing FHE schemes based on their approach. First, we prove that it is sufficient to find a surjective homomorphism $$\pi :\widetilde{G} \rightarrow G$$ between finite groups for which bit operators are realized in G and the elements of the kernel of $$\pi $$ are indistinguishable from the general elements of $$\widetilde{G}$$. Secondly, we propose new methodologies to realize bit operators in some groups G. Thirdly, we give an observation that a naive approach using matrix groups would never yield secure FHE due to an attack utilizing the “linearity” of the construction. Then we propose an idea to avoid such “linearity” by using combinatorial group theory. Concretely realizing FHE schemes based on our proposed framework is left as a future research topic.
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Kurzweil, Hans, and Bernd Stellmacher. "Groups Acting on Groups." In The Theory of Finite Groups, 175–223. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/0-387-21768-1_8.

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Kurzweil, Hans, and Bernd Stellmacher. "p-Groups and Nilpotent Groups." In The Theory of Finite Groups, 99–119. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/0-387-21768-1_5.

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Turull, A. "Character Theory and Length Problems." In Finite and Locally Finite Groups, 377–400. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-011-0329-9_14.

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Robinson, Derek J. S. "Finite Permutation Groups." In A Course in the Theory of Groups, 185–205. New York, NY: Springer US, 1993. http://dx.doi.org/10.1007/978-1-4684-0128-8_7.

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Conference papers on the topic "General theory for finite groups"

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Settipalli, Manoj, Venkatarao Ganji, and Theodore Brockett. "Rotordynamic Energy Expressions for General Anisotropic Finite Element Systems." In ASME Turbo Expo 2017: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/gt2017-64816.

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It is often desirable to identify the critical components that are active in a particular mode shape or an operational deflected shape (ODS) in a complex rotordynamic system with multiple rotating groups and bearings. The energy distributions can help identify the critical components of a rotor bearing system that may be modified to match the design requirements. Although the energy expressions have been studied by researchers in the past under specific limited conditions, these expressions require computing the displacements and velocities of all degrees of freedom over one full cycle. They do not address the overall time-dependency of the energies and energy distributions, and their effect on the interpretation of a mode shape or an ODS. Moreover, a detailed finite element formulation of these energy expressions including the effects of anisotropy, skew-symmetric stiffness, viscous and structural damping have not been identified by the authors in the open literature. In this article, a detailed account of orbit characteristics and planarity for isotropic and anisotropic systems is presented. The effect of orbit characteristics on the energy expressions is then discussed. An elegant approach to obtaining time-dependent kinetic and strain energies of a mode shape or an ODS directly from the structural matrices and complex eigenvectors/displacement vectors is presented. The expressions for energy contributed per cycle by various types of damping and the destabilizing skew-symmetric stiffness that can be obtained in a similar way are also shown. The conditions under which the energies and energy distributions are time-invariant are discussed. An alternative set of energy expressions for isotropic systems with the degrees of freedom reduced by half is also presented.
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Xu, Jiechi, and Joseph R. Baumgarten. "Modeling of Multibody Flexible Articulated Structures With Mutually Coupled Motions: Part I — General Theory." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0407.

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Abstract In the present paper a general systematic modeling procedure has been conducted in deriving dynamic equations of motion using Lagrange’s approach for a spatial multibody structural system involving rigid bodies and elastic members. Both the rigid body degrees of freedom and the elastic degrees of freedom are considered as unknown generalized coordinates of the entire system in order to reflect the nature of mutually coupled rigid body and elastic motions. The assumption of specified rigid body gross motion is no longer necessary in the equation derivation and the resulting differential equations are highly nonlinear. Finite element analysis (FEA) with direct stiffness method has been employed to model the flexible substructures. Nonlinear coupling terms between the rigid body and elastic motions are fully derived and are explicitly expressed in matrix form. The equations of motion of each individual subsystem are formulated based on a moving frame instead of a traditional inertial frame. These local level equations of motion are assembled to obtain the system equations with the implementation of geometric boundary conditions by means of a compatibility matrix.
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Zolfaghari, Ahmad, Hamid Minuchehr, and Mohammadreza Abbasi. "Development of Code, PNFENT, Based on Using Finite Elements for Neutron Transport." In 17th International Conference on Nuclear Engineering. ASMEDC, 2009. http://dx.doi.org/10.1115/icone17-75964.

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A variational treatment of the finite element method for neutron transport is used based on a version of the even parity Boltzman equation for the general case of anisotropic scattering and sources. The theory of maximum principles is based on the Cauchy-Schwartz inequality and the properties of a leakage operator G and a removal operator C. For system with extraneous sources a maximum principle is used in boundary free form to ease finite element computations. The global error of an approximate variational solution is shown. The energy dependence of the angular flux is treated by the multi-group method. In this paper the spatial dependence of the angular flux is given in a finite element representation. The directional dependence of angular flux is represented preferably by a spherical harmonic expansion. The above method has been developed and implemented in the finite element program PNFENT. A homogenous slab of a pure absorber along edge-cell and a two dimensional problems are solved with an accuracy as good as the best problem techniques.
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Lee, Chung-Ching. "Discontinuous Mobility of a Folding Square-Block Toy: A Class of Single Loop Spatial 8-Bar Mechanism." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58123.

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Based on the group theory and group algebraic structure of the displacement set, an interesting playing toy of the magic folding square block belonging to one class of single-loop spatial eight-revolute mechanism is offered to illustrate the discontinuous mobility of mechanism. This folding toy’s mobility generally has two finite global dofs as a whole kinematic chain. Nevertheless, during the movement, the permanent finite mobility of mechanism depends on the various positions of joints. When the block profile-shape constraints are taken into account, one bifurcation between one 2-dimensional manifold and one 1-dimensional manifold occurs at an initial transition position and the other bifurcation between two 1-dimensional manifolds exists in another specified configuration. In addition, any motion of one working mode destroys the geometrical condition that is required for the other modes but a bifurcation toward a spatial mode with two finite dofs remains possible by ingoring the profile shape constraints. In fact, there is a discontinuous mobility with a trifurcation among three subsets. It is composed of a general spatial mode with 2-dimensional manifold, one part mobility chain of 2-dimensional manifold and another part mobility chain of 1-dimensional manifold.
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Saidi, M. H., and Amin Mehrabian. "Design Optimization of Diffuser Type Valveless Micropumps." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95104.

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Valveless piezoelectric micropumps are in wide practical use due to their ability to conduct particles with absence of interior moving mechanical parts. In this paper, using finite element method, an extended numerical study on fluid flow through micropump chamber and diffuser valves is conducted to find out the optimum working conditions of micropump. In order to obtain maximum generality of the reported results, an analytical study along with a dimensional analysis is presented primarily, to investigate the main dimensionless groups of parameters affecting the micropump net flux. Consequently, the parameters appeared in the main dimensionless groups have been changed in order to understand how the pump rectification efficiency, defining as the ratio of micropump net flux to sum of the absolute values of fluxes of inlet and outlet valves, and optimum diffuser angle depend on these parameters. At last, a set of characteristic curves are constructed which show these dependencies. The optimum working condition of micropump can be clearly found out through the use of these general characteristic curves.
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Pillay, Anand. "Finite-dimensional differential algebraic groups and the Picard-Vessiot theory." In Differential Galois Theory. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc58-0-14.

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Radulescu, Andrei, Robert Calderbank, and Stuart Schwartz. "Full-Diversity Finite-Constellation 4 x 4 Differential STBC Based on Finite Quaternion Groups." In 2006 IEEE Information Theory Workshop. IEEE, 2006. http://dx.doi.org/10.1109/itw.2006.322856.

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Radulescu, Andrei D., Robert A. Calderbank, and Stuart C. Schwartz. "Full-Diversity Finite-Constellation 4 x 4 Differential STBC Based on Finite Quaternion Groups." In 2006 IEEE Information Theory Workshop - ITW '06 Chengdu. IEEE, 2006. http://dx.doi.org/10.1109/itw2.2006.323838.

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Biglieri, Ezio, Emanuele Viterbo, and Michele Elia. "Error Control of Line Codes Generated by Finite Coxeter Groups." In 2018 Information Theory and Applications Workshop (ITA). IEEE, 2018. http://dx.doi.org/10.1109/ita.2018.8503222.

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Wood, Jared G., Benjamin Kehoe, and J. Karl Hedrick. "Target Estimate PDF-Based Optimal Path Planning Algorithm With Application to UAV Systems." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4262.

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Abstract:
Companies are starting to explore investing in UAV systems that come with standard autopilot trackers. There is a need for general cooperative local path planning algorithms that function with these types of systems. We have recently finished a project in which algorithms for autonomously searching for, detecting, and tracking ground targets was developed for a fixed-wing UAV with a visual spectrum gimballed camera. A set of scenarios are identified in which finite horizon path optimization results in a non-optimal ineffective path. For each of these scenarios, an appropriate path optimization problem is defined to replace finite horizon optimization. An algorithm is presented that determines which path optimization should be performed given a UAV state and target estimate probability distribution. The algorithm was implemented and thoroughly tested in flight experiments. The experimental work was successful and gave insight into what is required for a path planning algorithm to robustly work with standard waypoint tracking UAV systems. This paper presents the algorithm that was developed, theory supporting the algorithm, and experimental results.
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Reports on the topic "General theory for finite groups"

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Sambasivan, Shiv Kumar, Mikhail J. Shashkov, Donald E. Burton, and Mark A. Christon. Mimetic Theory for Cell-Centered Lagrangian Finite Volume Formulation on General Unstructured Grids. Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1047081.

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