Results 31 to 40 of about 76,450 (196)

On Groups in Which Many Automorphisms Are Cyclic

Mathematics, 2022
Let G be a group. An automorphism α of G is said to be a cyclic automorphism if the subgroup ⟨x,xα⟩ is cyclic for every element x of G. In [F. de Giovanni, M.L. Newell, A. Russo: On a class of normal endomorphisms of groups, J.
Mattia Brescia, Alessio Russo
doaj   +1 more source

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

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

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

Automorphism towers and automorphism groups of fields without Choice [PDF]

, 2011
This paper can be viewed as a continuation of [KS09] that dealt with the automorphism tower problem without Choice. Here we deal with the inequation which connects the automorphism tower and the normalizer tower without Choice and introduce a new proof ...
Kaplan, Itay, Shelah, Saharon
core  

Transforming Solutions for the Oberwolfach Problem into Solutions for the Spouse‐Loving Variant

Journal of Combinatorial Designs, EarlyView.
ABSTRACT The Oberwolfach problem OP ( F ) $\mathrm{OP}(F)$, for a 2‐factor F $F$ of K n ${K}_{n}$, asks whether there exists a 2‐factorization of K n ${K}_{n}$ (if n $n$ is odd) or K n − I ${K}_{n}-I$ (if n $n$ is even) where each 2‐factor is isomorphic to F $F$. Here, I $I$ denotes any 1‐factor of K n ${K}_{n}$. For even n $n$, the problem OP( F ) $(F)
Maruša Lekše, Mateja Šajna
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

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source