Results 31 to 40 of about 5,969 (246)

On the automorphism groups of Frobenius groups [PDF]

open access: yesCommunications in Algebra, 2020
This is one of a series papers which aim towards to solve the problem of determining automorphism groups of Frobenius groups. This one solves the problem in the case where the Frobenius kernels are elementary abelian and Frobenius complements are cyclic.
openaire   +2 more sources

AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

open access: yes, 2005
A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting.
Linfan Mao, MAO, LINFAN
core   +1 more source

Automorphism groups of simply reducible groups

open access: yes, 2021
Simply reducible groups are closely related to the eigenvalue problems in quantum theory and molecular symmetry in chemistry. Classification of simply reducible groups is still an open problem which is interesting to physicists.
Luan, Yongzhi
core   +1 more source

Ree groups as automorphism groups of block designs

open access: yesExamples and Counterexamples
A recent classification of flag-transitive 2-designs with parameters (v,k,λ) whose replication number r is coprime to λ gives rise to eight possible infinite families of 2-designs, some of which are with new parameters.
Ashraf Daneshkhah
doaj   +1 more source

On the number of prime order subgroups of finite groups [PDF]

open access: yes, 2009
Let G be a finite group and let ?(G) be the number of prime order subgroups of G. We determine the groups G with the property ?(G)??G?/2?1, extending earlier work of C. T. C.
Scott, Stuart   +3 more
core   +1 more source

Possible Groups of Automorphisms [PDF]

open access: yesProceedings of the National Academy of Sciences, 1943
Not ...
openaire   +2 more sources

On the Automorphism Group of a Lie Group [PDF]

open access: yesProceedings of the American Mathematical Society, 1974
It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
openaire   +1 more source

A Note on Eigenvalues and Asymmetric Graphs

open access: yesAxioms, 2023
This note is intended as a contribution to the study of quantitative measures of graph complexity that use entropy measures based on symmetry. Determining orbit sizes of graph automorphism groups is a key part of such studies. Here we focus on an extreme
Abdullah Lotfi   +2 more
doaj   +1 more source

Automorphisms of groups

open access: yesJournal of Algebra, 2007
Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
openaire   +2 more sources

The automorphism group of accessible groups [PDF]

open access: yesJournal of the London Mathematical Society, 2011
18 pages, 3 figures.
openaire   +4 more sources

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