On Automorphism Groups of Symmetric Cayley Graphs of Finite Simple Groups with Valency Six

被引：1

作者：

Fang, Xingui ^{[1
]}

Niu, Pu

Wang, Jie

机构：

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

来源：

ALGEBRA COLLOQUIUM | 2010年 / 17卷 / 01期

基金：

中国国家自然科学基金;

关键词：

finite non-abelian simple group; Cayley graph; symmetric graph; automorphism group; PRIMITIVE PERMUTATION-GROUPS; SUBGROUPS;

D O I：

10.1142/S1005386710000179

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we investigate the full automorphism groups of six-valent symmetric Cayley graphs Gamma = Cay(G, S) for finite non-abelian simple groups C. We prove that for most finite non-abelian simple groups G, if Gamma contains no cycle of length 4, then Ant Gamma = G . Aut(G, S), where Aut(G, S) <= S(6).

引用

页码：161 / 172

页数：12

共 17 条

[1]

BIGGES N, 1993, ALGEBRAIC GRAPH THEO

[2]

Conway J. H., 1985, ATLAS of Finite Groups

[3] On edge-transitive Cayley graphs of valency four [J].