Results 91 to 100 of about 76,199 (200)

The divisibility conjecture for automorphism groups of finite p-groups [PDF]

open access: yesAdvances in Group Theory and Applications, 2020
Jill Dietz
doaj   +1 more source

Finite Vertex Bi-Primitive 2-Arc Transitive Graphs Admitting a Two-Dimensional Linear Group

open access: yesIEEE Access, 2019
A graph is said to be vertex bi-primitive, if it is a bipartite graph, and the setwise stabilizer of its automorphism group acts primitively on two bi-parts.
Xiaohui Hua
doaj   +1 more source

Groups with Anomalous Automorphisms

open access: yesJournal of Algebra, 1996
Let \(G\) be a group. The set \(\Aut_{nn}G\) of all automorphisms of \(G\) fixing every non-normal subgroup of \(G\) is a normal subgroup of the full automorphism group \(\Aut G\) of \(G\). Of course, \(\Aut_{nn}G\) contains the group \(P\Aut G\) of all power automorphisms of \(G\), and the structure of groups \(G\) such that \(P\Aut G\neq\Aut_{nn}G ...
Brandl, Rolf, Verardi, Libero
openaire   +2 more sources

Bounded Automorphisms of Groups

open access: yesJournal 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
openaire   +2 more sources

A note on one-parameter groups of automorphisms

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1990
Let {αt:t∈R} and {βt:t∈R} be two commuting one-parameter groups of ∗-automorphisms of a von Neumann algebra M such that αt+α−t=βt+β−t for all t∈R. The purpose of this note is to provide a simple and short proof of the central decomposition result: αt=βt ...
A. B. Thaheem, Noor Mohammad
doaj   +1 more source

Automorphisms of solvable groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1962
It is important to note that in both these statements only the existence of integers t(p, n) and m(p) is claimed. The only specific information known is that in(2) =2, m (3) =2, and mi(5) = 3 (see [1 ]) . Even upper bounds for the values of t(p, n) and m(p) are not known to us.
openaire   +1 more source

Automorphisms of graph groups

open access: yesJournal 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 ...
openaire   +2 more sources

Automorphisms of the Dihedral Groups [PDF]

open access: yesProceedings of the National Academy of Sciences, 1942
Not ...
openaire   +3 more sources

On normal automorphisms of n-periodic products of finite cyclic groups [PDF]

open access: yesInternational Journal of Group Theory, 2013
We prove that each normal automorphism of the$n$-periodic product of cyclic groups of odd order$rge1003$ is inner, whenever $r$ divides $n$.
Ashot Pahlevanyan   +3 more
doaj  

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