A note on the automorphism groups of cubic Cayley graphs of finite simple groups

被引：5

作者：

Zhang, Cui ^{[3
,4
]}

Fang, Xin Gui ^{[1
,2
]}

机构：

[1] Peking Univ, LMAM, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

[3] Univ Primorska, FAMNIT, Koper 6000, Slovenia

[4] Univ Primorska, PINT, Koper 6000, Slovenia

来源：

DISCRETE MATHEMATICS | 2010年 / 310卷 / 21期

关键词：

Normal Cayley graph; Non-symmetric graph; Automorphism group; Finite simple group;

D O I：

10.1016/j.disc.2010.06.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a finite group G, a Cayley graph Gamma = Cay(G, S) on G is said to be normal if G(R) Aut Gamma. In this note, we prove that connected cubic non-symmetric Cayley graphs of the ten finite non-abelian simple groups Gin the list of non-normal candidates given in ()CC. Fang, C.H. Li, J. Wang, M.Y. Xu, On cubic Cayley graphs of finite simple groups, Discrete Math. 244 (2002) 67-751 are normal. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3030 / 3032

页数：3