A family of nonnormal Cayley digraphs

作者：Feng YQ^*; Wang DJ; Chen JL

来源：Acta Mathematica Sinica-English Series, 2001, 17(1): 147-152.

DOI：10.1007/PL00011582

• Cayley digraph
• normal Cayley digraph

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 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.

• 出版日期2001-1
• 单位清华大学; 唐山师范学院