Results 21 to 30 of about 1,144 (198)

FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES

Forum of Mathematics, Sigma, 2014
Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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Class-preserving Coleman automorphisms of some classes of finite groups

Open Mathematics, 2022
The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
doaj   +1 more source

FINITE $p$-GROUPS WITH SMALL AUTOMORPHISM GROUP

Forum of Mathematics, Sigma, 2015
For each prime $p$ we construct a family $\{G_{i}\}$ of finite $p$-groups such that $|\text{Aut}(G_{i})|/|G_{i}|$ tends to zero as $i$ tends to infinity.
JON GONZÁLEZ-SÁNCHEZ, ANDREI JAIKIN-ZAPIRAIN   +1 more
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Characterizing Inner Automorphisms and Realizing Outer Automorphisms [PDF]

Advances in Group Theory and Applications
We give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G.
Benjamin Sambale
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Possible Groups of Automorphisms [PDF]

Proceedings of the National Academy of Sciences, 1943
Not ...
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On the automorphism groups of Frobenius groups [PDF]

Communications 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.
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On finite dual Cayley graphs

Open Mathematics, 2020
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
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A Note on Eigenvalues and Asymmetric Graphs

Axioms, 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, Abbe Mowshowitz, Matthias Dehmer   +2 more
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On the Automorphism Group of a Lie Group [PDF]

Proceedings 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.
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On automorphisms of L.C. groups [PDF]

Proceedings of the American Mathematical Society, 1977
The left regular representation λ \lambda
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