Results 171 to 180 of about 39,756 (284)
Journal of Algebra, 1989 Given a graph \(\Gamma=(V,E)\), the graph group \(F\langle\Gamma\rangle\) is the group with presentation \(\langle V\mid [E]\rangle\), where \([E]\) denotes the set of commutators \(\{[a,b]\mid\{a,b\}\in E\}\). The graph group \(F\langle\Gamma\rangle\) is modeled to be a group analog of the graph algebra K(\(\Gamma)\) generated as a free associative ...
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Automorphism Groups of Unary Algebras on Groups
, 1969 This paper presents a systematic study of the automorphism groups of those unary (universal) algebras whose carrier set G is the carrier set of some group ) and whose automorphism set contains the right translations of the latter group.
G. H. Wenzel
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Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras
Mathematics OpenIn this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions.
Qinxiu Sun, Weiping Jiao
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On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
, 2013 We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel +1 more
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Automorphism groups of metacyclic groups of class two [PDF]
, 2011 An automorphism of a group G is an isomorphism from G to G, which is one to one, onto and preserving operation. The automorphism of G forms a group under composition, and is denoted as Aut ?G?.
A. Mohamed, Abir Naser
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Automorphism groups of supergraphs of the power graph of a finite group
European journal of combinatorics (Print), 2017 A. Hamzeh, A. Ashrafi
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The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We describe a number of relationships between properties of the vacuum Verma module of a Virasoro algebra and the automorphism group of certain vertex operator algebras.
Michael P. Tuite
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The group of automorphisms of the holomorph of a group [PDF]
Pacific Journal of Mathematics, 1961 openaire +3 more sources
Orbit decidability and the conjugacy problem for some extensions of groups
, 2009 Given a short exact sequence of groups with certain conditions, 1 ? F ? G ? H ? 1, weprove that G has solvable conjugacy problem if and only if the corresponding action subgroupA 6 Aut(F) is orbit decidable.
Ventura, Enric +2 more
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Algorithms for polycyclic-by-finite groups [PDF]
A set of fundamental algorithms for computing with polycyclic-by-finite groups is presented here. Polycyclic-by-finite groups arise naturally in a number of contexts; for example, as automorphism groups of large finite soluble groups, as quotients of ...
Sinanan, Shavak
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