Results 131 to 140 of about 166,013,378 (225)
Automorphisms of the Nottingham Group
Journal of Algebra, 2000 Let \(K\) be a finite field of characteristic \(p\). The Nottingham group over \(K\) can be defined as the group \({\mathcal N}(K):=t+t^2K[[t]]\) of normalised power series under substitution. It is a finitely-generated pro-\(p\) group with some interesting properties [see the survey article in the book ``New horizons in pro-\(p\) groups'', Birkhäuser,
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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 Quandles [PDF]
, 2011 This thesis arose from a desire to better understand the structures of automorphism groups and inner automorphism groups of quandles. We compute and give the structure of the automorphism groups of all dihedral quandles.
Macquarrie, Jennifer
core
Bounded Automorphisms of Groups
Journal of Algebra, 1994 Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
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The group of automorphisms of the holomorph of a group [PDF]
Pacific Journal of Mathematics, 1961 openaire +3 more sources
On structural aspects of finite simple groups of Lie type [PDF]
, 2011 PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
core
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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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
doaj
On the Automorphism Group of A 2-Group [PDF]
Proceedings of the London Mathematical Society, 1973 openaire +2 more sources