A Family of Nonnormal Cayley Digraphs |
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| Authors: | Yan Quan Feng Dian Jun Wang Jing Lin Chen |
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| Affiliation: | (1) Department of Mathematics, Northern JiaoTong University, Beijing 100044, P. R. China, E-mail: feng@sxx0.math.pku.edu.cn, CN;(2) Department of Mathematics, Tsinghua University, Beijing 100084, P. R. China, CN;(3) Department of Mathematics, Tangshan Normal College, Tangshan 063000, P. R. China, CN |
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| Abstract: | 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. Received February 23, 1998, Revised September 25, 1998, Accepted October 27, 1998 |
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| Keywords: | Cayley digraph Normal Cayley digraph |
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