Relevant bibliographies by topics / Context-freeness of finite index

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Context-freeness of finite index'

Author: Grafiati
Published: 4 June 2021
Last updated: 6 February 2022

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Journal articles on the topic "Context-freeness of finite index"

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WINSLØW, CARL. "STRONGLY FREE ACTIONS ON SUBFACTORS." International Journal of Mathematics 04, no. 04 (1993): 675–88. http://dx.doi.org/10.1142/s0129167x93000327.

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For actions on arbitrary inclusions of factors with finite index, we define an algebraic property called "strong freeness". In the case of strongly amenable subfactors of type II∞ or IIIλ (0 < λ < 1), this property is shown to be a characterization of centrally free actions. We then classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type II∞, and strongly free actions of a class of discrete amenable groups (which include ℤn, n ∈ ℕ) on strongly amenable subfactors of type IIIλ. Namely, we show that the (generalized) fundamental homomorphism is a
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HOFFMANN, MICHAEL, RICHARD M. THOMAS, and NIK RUŠKUC. "AUTOMATIC SEMIGROUPS WITH SUBSEMIGROUPS OF FINITE REES INDEX." International Journal of Algebra and Computation 12, no. 03 (2002): 463–76. http://dx.doi.org/10.1142/s0218196702000833.

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The notion of automaticity has been widely studied in groups and some progress has been made in understanding this notion in the wider context of semigroups. The purpose of this paper is to study the connections between the automaticity of semigroups S and T where T is a subsemigroup of finite Rees index in S.
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Liu, Jia-Bao, Imran Khalid, Mohammad Tariq Rahim, Masood Ur Rehman, Faisal Ali, and Muhammad Salman. "Eccentric topological properties of a graph associated to a finite dimensional vector space." Main Group Metal Chemistry 43, no. 1 (2020): 164–76. http://dx.doi.org/10.1515/mgmc-2020-0020.

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AbstractA topological index is actually designed by transforming a chemical structure into a number. Topological index is a graph invariant which characterizes the topology of the graph and remains invariant under graph automorphism. Eccentricity based topological indices are of great importance and play a vital role in chemical graph theory. In this article, we consider a graph (non-zero component graph) associated to a finite dimensional vector space over a finite filed in the context of the following eleven eccentricity based topological indices: total eccentricity index; average eccentrici
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CORSON, JON M. "EXTENDED FINITE AUTOMATA AND WORD PROBLEMS." International Journal of Algebra and Computation 15, no. 03 (2005): 455–66. http://dx.doi.org/10.1142/s0218196705002360.

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This paper considers extended finite automata over monoids, in the sense of Dassow and Mitrana. We show that the family of languages accepted by extended finite automata over a monoid K is controlled by the word problem of K in a precisely stated manner. We also point out a critical error in the proof of the main result in the paper by Dassow and Mitrana. However as one consequence of our approach, by analyzing a certain word problem, we obtain a complete proof of this result, namely that the family of languages accepted by extended finite automata over the free group of rank two is exactly th
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ŠUNIĆ, ZORAN. "FINITE SELF-SIMILAR p-GROUPS WITH ABELIAN FIRST LEVEL STABILIZERS." International Journal of Algebra and Computation 21, no. 01n02 (2011): 355–64. http://dx.doi.org/10.1142/s0218196711006200.

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We determine all finite p-groups that admit a faithful, self-similar action on the p-ary rooted tree such that the first level stabilizer is abelian. A group is in this class if and only if it is a split extension of an elementary abelian p-group by a cyclic group of order p. The proof is based on use of virtual endomorphisms. In this context the result says that if G is a finite p-group with abelian subgroup H of index p, then there exists a virtual endomorphism of G with trivial core and domain H if and only if G is a split extension of H and H is an elementary abelian p-group.
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Willett, Rufus. "Random graphs, weak coarse embeddings, and higher index theory." Journal of Topology and Analysis 07, no. 03 (2015): 361–88. http://dx.doi.org/10.1142/s1793525315500156.

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This paper studies higher index theory for a random sequence of bounded degree, finite graphs with diameter tending to infinity. We show that in a natural model for such random sequences the following hold almost surely: the coarse Baum–Connes assembly map is injective; the coarse Baum–Connes assembly map is not surjective; the maximal coarse Baum–Connes assembly map is an isomorphism. These results are closely tied to issues of expansion in graphs: in particular, we also show that such random sequences almost surely do not have geometric property (T), a strong form of expansion.The key geomet
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Mu, M., and B. Wang. "Nonlinear instability and sensitivity of a theoretical grassland ecosystem to finite-amplitude perturbations." Nonlinear Processes in Geophysics 14, no. 4 (2007): 409–23. http://dx.doi.org/10.5194/npg-14-409-2007.

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Abstract. Within a theoretical model context, the sensitivity and instability of the grassland ecosystem to finite-amplitude perturbations are studied. A new approach of conditional nonlinear optimal perturbations (CNOPs) is adopted to investigate this nonlinear problem. It is shown that the linearly stable grassland (desert) states can be nonlinearly unstable with finite-amplitude initial perturbations, which represent the human activities and natural factors on the ecosystem. When the moisture index is between the two bifurcation points, a large enough finite amplitude perturbation can induc
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Caprace, Pierre-Emmanuel, and Nicolas Radu. "CHABAUTY LIMITS OF SIMPLE GROUPS ACTING ON TREES." Journal of the Institute of Mathematics of Jussieu 19, no. 4 (2018): 1093–120. http://dx.doi.org/10.1017/s1474748018000348.

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Let $T$ be a locally finite tree without vertices of degree $1$. We show that among the closed subgroups of $\text{Aut}(T)$ acting with a bounded number of orbits, the Chabauty-closure of the set of topologically simple groups is the set of groups without proper open subgroup of finite index. Moreover, if all vertices of $T$ have degree ${\geqslant}3$, then the set of isomorphism classes of topologically simple closed subgroups of $\text{Aut}(T)$ acting doubly transitively on $\unicode[STIX]{x2202}T$ carries a natural compact Hausdorff topology inherited from Chabauty. Some of our consideratio
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Myronova, Mariia, Jiří Patera, and Marzena Szajewska. "Nested Polyhedra and Indices of Orbits of Coxeter Groups of Non-Crystallographic Type." Symmetry 12, no. 10 (2020): 1737. http://dx.doi.org/10.3390/sym12101737.

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The invariants of finite-dimensional representations of simple Lie algebras, such as even-degree indices and anomaly numbers, are considered in the context of the non-crystallographic finite reflection groups H2, H3 and H4. Using a representation-orbit replacement, the definitions and properties of the indices are formulated for individual orbits of the examined groups. The indices of orders two and four of the tensor product of k orbits are determined. Using the branching rules for the non-crystallographic Coxeter groups, the embedding index is defined similarly to the Dynkin index of a repre
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BRIDSON, MARTIN R., and ROBERT H. GILMAN. "A REMARK ABOUT COMBINGS OF GROUPS." International Journal of Algebra and Computation 03, no. 04 (1993): 575–81. http://dx.doi.org/10.1142/s0218196793000329.

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It is currently unknown whether or not there exist (synchronously) combable groups which are not automatic. This note settles an analogous question in a simpler context. The notion of a broomlike combing is introduced. It is shown that if a group admits a broomlike combing then it admits a broomlike combing in which the language of combing words is regular. A finitely generated group admits a broomlike combing if and only if it contains a free subgroup of finite index.
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Dissertations / Theses on the topic "Context-freeness of finite index"

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Soukup, Ondřej. "Formální modely distribuovaného výpočtu." Doctoral thesis, Vysoké učení technické v Brně. Fakulta informačních technologií, 2017. http://www.nusl.cz/ntk/nusl-412589.

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Tato disertační práce představuje derivační stromy několika různých typů gramatik ve zobecněné Kurodově normální formě; jmenovitě obecné a regulárně řízené gramatiky, gramatiky s rozptýleným kontextem a spolupracující distribuované gramatické systémy. Definuje jednoduché stromové rysy založené na kontextových vlastnostech jednotlivých diskutovaných gramatik a dokazuje, že pokud existuje limitující konstanta k taková, že každá věta generovaného jazyka L odpovídá řetězci listových uzlů derivačního stromu, ve kterém je výskyt definovaných stromových rysů omezen konstantou k, jazyk L je ve skutečn
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Book chapters on the topic "Context-freeness of finite index"

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Fernau, Henning, and Markus Holzer. "Conditional context-free languages of finite index." In New Trends in Formal Languages. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62844-4_2.

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Conference papers on the topic "Context-freeness of finite index"

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Negrut, Dan, Rajiv Rampalli, Gisli Ottarsson, and Anthony Sajdak. "On the Use of the HHT Method in the Context of Index 3 Differential Algebraic Equations of Multibody Dynamics." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85096.

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The paper presents theoretical and implementation aspects related to a new numerical integrator available in the 2005 version of the MSC.ADAMS/Solver C++. The starting point for the new integrator is the Hilber-Hughes-Taylor method (HHT, also known as α-method) that has been widely used in the finite element community for more than two decades. The method implemented is tailored to answer the challenges posed by the numerical solution of index 3 Differential Algebraic Equations that govern the time evolution of a multi-body system. The proposed integrator was tested with more than 1,600 models
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Jurkevičius, Vaidas, and Jūratė Šidlauskienė. "PRIMARY PRESUMPTIONS FOR WEBSITE OPERATOR’S LIABIILTY FOR OFFENSIVE COMMENTS." In Business and Management 2018. VGTU Technika, 2018. http://dx.doi.org/10.3846/bm.2018.31.

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In 2013 and 2015 the European Court of Human Rights (ECHR) by its judgements in the famous case Delfi AS v. Estonia admitted the possibility of liability of the Internet news portal operator for unlawful comments of users. However, just half a year later, the ECHR in MTE & Index v. Hungary case, which was, at first sight, similar, took a different decision, i.e. that the website operator could not be held liable. Finally, in 2017 the ECHR in Pihl v. Sweden case resolved a dispute over a comment posted in a blog. Thus, this article analyses, by applying the comparative method, the prima
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