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	On cubic s-arc transitive Cayley graphs of finite simple groups
	Xu, SJ ; Fang, XG ; Wang, J ; Xu, MY
	2005
关键词	simple group Cayley graph normal Cayley graph arc transitive graph AUTOMORPHISM-GROUPS SYMMETRIC GRAPHS PRIME VALENCY
英文摘要	For a positive integer s, a graph Gamma is called s-arc transitive if its full automorphism group AutGamma acts transitively on the set of s-arcs of Gamma. Given a group G and a subset S of G with S = S-1 and 1 is not an element of S, let Gamma = Cay(G, S) be the Cayley graph of G with respect to S and G(R) the set of right translations of G on G. Then GR forms a regular subgroup of AutGamma. A Cayley graph Gamma = Cay(G, S) is called normal if G(R) is normal in AutGamma. In this paper we investigate connected cubic s-arc transitive Cayley graphs Gamma of finite non-Abelian simple groups. Based on Li's work (Ph.D. Thesis (1996)), we prove that either Gamma is normal with s less than or equal to 2 or G = A(47) with s = 5 and AutGamma congruent to A(48). Further, a connected 5-arc transitive cubic Cayley graph of A47 is constructed. (C) 2004 Elsevier Ltd. All rights reserved.; Mathematics; SCI(E); 0; ARTICLE; 1; 133-143; 26
语种	英语
出处	SCI
出版者	european journal of combinatorics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/254163]
专题	数学科学学院
推荐引用方式 GB/T 7714	Xu, SJ,Fang, XG,Wang, J,et al. On cubic s-arc transitive Cayley graphs of finite simple groups. 2005-01-01.

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