Citation
Yq. Feng et al., A family of nonnormal Cayley digraphs, ACTA MATH S, 17(1), 2001, pp. 147-152
Citations number
12
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574
→ ACNP
Volume
17
Issue
1
Year of publication
2001
Pages
147 - 152
Database
ISI
SICI code
1000-9574(200101)17:1<147:AFONCD>2.0.ZU;2-S
Abstract
We call a Cayley digraph Gamma = 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(Gamma) of Gamma. In this paper we determine the normality of Cayl
ey 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.