摘要
We call a Cayley digraph Γ=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(Γ) of Γ. 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.
We call a Cayley digraph Γ=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(Γ) of Γ. 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.
基金
supported by the Postdoctoral Science Foundation of China
Morningside Center of Mathematics. Chinese Academy of Sciences
