A Family of Nonnormal Cayley Digraphs

Authors
Feng, Yan Quan Wang, Dian Jun Chen, Jing Lin
Citation
Feng, Yan Quan et al., A Family of Nonnormal Cayley Digraphs, Acta mathematica Sinica. English series (Print) , 17(1), 2000, pp. 147-152
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
17
Issue
1
Year of publication
2000
Pages
147 - 152
Database
ACNP
SICI code
Abstract
We call a Cayley digraph = Cay(G, S) normal for G if G R , the right regular representation of G, is a normal subgroup of the full automorphism group Aut() of . In this paper we determine the normality of Cayley digraphs of valency 2 on nonabelian groups of order 2p 2 (p odd prime). As a result, a family of nonnormal Cayley digraphs is found.