Results 21 to 30 of about 104,157 (229)

Quantum automorphisms of folded cube graphs [PDF]

, 2019
We show that the quantum automorphism group of the Clebsch graph is $SO_5^{-1}$. This answers a question by Banica, Bichon and Collins from 2007.
Schmidt, Simon
core   +3 more sources

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.
openaire   +3 more sources

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
doaj   +1 more source

$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]

, 2013
An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
core   +3 more sources

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
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

Symplectic spreads, planar functions and mutually unbiased bases [PDF]

, 2014
In this paper we give explicit descriptions of complete sets of mutually unbiased bases (MUBs) and orthogonal decompositions of special Lie algebras $sl_n(\mathbb{C})$ obtained from commutative and symplectic semifields, and from some other non-semifield
Abdukhalikov, Kanat
core   +1 more source

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

Normalizer property of finite groups with almost simple subgroups

Electronic Research Archive, 2022
In this paper, we prove that all Coleman automorphisms of extension of an almost simple group by an abelian group or a simple group are inner. Using our methods we also show that the Coleman automorphisms of 2-power order of an odd order group by an ...
Jingjing Hai , Xian Ling
doaj   +1 more source

1-Designs from the group PSL2(59) and their automorphism groups [PDF]

Mathematics Interdisciplinary Research, 2018
In this paper, we consider the projective special linear group PSL2(59) and construct some 1-designs by applying the Key-Moori method on  PSL2(59). Moreover, we obtain parameters of these designs and their automorphism groups.
Reza Kahkeshani
doaj   +1 more source