On the normality of Cayley digraphs of valency 2 on non-abelian group of odd order
type: Item
instance of: scholarly article
title: On the normality of Cayley digraphs of valency 2 on non-abelian group of odd order
zbMATH Open document ID: 0962.05024
author: Ping Wang
author: Jiongsheng Li
published in: Southeast Asian Bulletin of Mathematics
publication date: 2001-06-13T00:00:00Z
review text: A Cayley digraph \(\Gamma= \text{Cay}(G, S)\) is called normal if the right regular representation \(G_R\) of \(G\) is a normal subgroup of \(\Aut\Gamma\). In this paper, Cayley digraphs of valency 2 on non-abelian groups of odd order are considered. The authors prove that such a graph \(\text{Cay}(G, S)\) is normal if the automorphism group of a graph \(A(\Gamma)\), constructed in this paper, is primitive on its vertex set. Moreover, the authors obtain the result that Cayley digraphs of valency 2 on non-abelian groups of order \(pq^2\) are normal if \(p\), \(q\) are distinct odd prime numbers.
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20B25
zbMATH DE Number: 1507470
zbMATH Keywords: Cayley digraph
zbMATH Keywords: automorphism group
reviewed by: Ulrike Baumann
MaRDI profile type: Publication
full work available at URL: s10012-000-0323-z
OpenAlex ID: W2055698631
DOI: 10.1007/S10012-000-0323-Z
description: scientific article; zbMATH DE number 1507470