Normal Cayley graphs of finite groups
type: Item
instance of: scholarly article
title: Normal Cayley graphs of finite groups
zbMATH Open document ID: 0912.05042
DOI: 10.1007/BF02879042
published in: Science in China. Series A
publication date: 1999-05-16T00:00:00Z
review text: Let \(G\) be a finite group, \(S\) a non-empty subset of \(G\) not containing the identity and \(X= \text{Cay}(G,S)\), the Cayley digraph of \(G\) with respect to \(S\). A Cayley digraph \(X= \text{Cay}(G,S)\) is said to be normal if \(R(G)\triangleleft A= \Aut(X)\), where \(R(G)\) is the right regular representation of \(G\). A group is said to have a normal Cayley digraph if \(G\) has a subset \(S\) such that the Cayley digraph \(\text{Cay}(G,S)\) is normal. The main result of this paper is that every finite group has a normal Cayley digraph.
Mathematics Subject Classification ID: 05C25
zbMATH DE Number: 1187424
zbMATH Keywords: normal Cayley digraph
author: Changqun Wang
author: Dianjun Wang
author: Mingyao Xu
reviewed by: Ulrike Baumann
MaRDI profile type: Publication
cites work: A classification of symmetric graphs of order \(3p\)
cites work: Half-transitive graphs of order a product of two distinct primes*
cites work: Half-transitive graphs of prime-cube order
cites work: On the full automorphism group of a graph
cites work: Q3933002
cites work: Finite digraphs with given regular automorphism groups
cites work: The automorphism groups of some cubic Cayley graphs
cites work: Graphical Regular Representations of Non-Abelian Groups, I
cites work: On automorphisms of Cayley graphs
cites work: On graphical representations of cyclic extensions of groups
full work available at URL: https://doi.org/10.1007/bf02879042
OpenAlex ID: W1988293997
description: scientific article; zbMATH DE number 1187424