Results 31 to 40 of about 76,199 (200)

Possible Groups of Automorphisms [PDF]

Proceedings of the National Academy of Sciences, 1943
Not ...
openaire   +2 more sources

Group extensions and automorphism group rings [PDF]

Homology, Homotopy and Applications, 2003
The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
openaire   +4 more sources

Automorphisms of graph products of groups from a geometric perspective [PDF]

, 2019
This article studies automorphism groups of graph products of arbitrary groups. We completely characterise automorphisms that preserve the set of conjugacy classes of vertex groups as those automorphisms that can be decomposed as a product of certain ...
Genevois, Anthony, Martin, Alexandre
core   +2 more sources

Ree groups as automorphism groups of block designs

Examples 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

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
doaj   +1 more source

Automorphism groups of Grassmann codes

, 2013
We use a theorem of Chow (1949) on line-preserving bijections of Grassmannians to determine the automorphism group of Grassmann codes. Further, we analyze the automorphisms of the big cell of a Grassmannian and then use it to settle an open question of ...
Artin, Beelen, Beelen, Berger, Bogart, Chow, Ghorpade, Ghorpade, Griffiths, Harris, Hirschfeld, Hodge, Krishna V. Kaipa, Lakshmibai, MacWilliams, Nemitz, Nogin, Pankov, Prażmowski, Sudhir R. Ghorpade, Tsfasman, Tsfasman, Wan, Ward, Westwick   +24 more
core   +2 more sources

Automorphisms of groups

Journal 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

On finite $p$-groups whose automorphisms are all central

, 2011
An automorphism $\alpha$ of a group $G$ is said to be central if $\alpha$ commutes with every inner automorphism of $G$. We construct a family of non-special finite $p$-groups having abelian automorphism groups. These groups provide counter examples to a
A. Jamali, A. Mahalanobis, B. E. Earnley, C. Hopkins, D. Jonah, G. A. Miller, G. Ban, H. Heineken, H. Heineken, I. Malinowska, J. E. Adney, J. J. Malone, M. J. Curran, M. J. Curran, M. Morigi, M. Morigi, Manoj K. Yadav, P. Hegarty, P. Hilton, R. R. Struik, S. P. Glasby, Vivek K. Jain   +21 more
core   +1 more source

Simple 3‐Designs of PSL ( 2 , 2 n ) With Block Size 13

Journal of Combinatorial Designs, Volume 34, Issue 3, Page 119-138, March 2026.
ABSTRACT This paper focuses on the investigation of simple 3‐( 2 n + 1 , 13 , λ ) designs admitting PSL ( 2 , 2 n ) as an automorphism group. Such designs arise from the orbits of 13‐element subsets under the action of PSL ( 2 , 2 n ) on the projective line X = GF ( 2 n ) ∪ { ∞ }, and any union of these orbits also forms a 3‐design.
Takara Kondo, Yuto Nogata
wiley   +1 more source

Unitary $L^{p+}$-representations of almost automorphism groups

Comptes Rendus. Mathématique
Let $G$ be a locally compact group with an open subgroup $H$ with the Kunze–Stein property, and let $\pi $ be a unitary representation of $H$. We show that the representation $\widetilde{\pi }$ of $G$ induced from $\pi $ is an $L^{p+}$-representation if ...
Dabeler, Antje, Mai Elkiær, Emilie, Gerasimova, Maria, de Laat, Tim   +3 more
doaj   +1 more source