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	Normal Cayley graphs of finite groups
	Wang, CQ ; Wang, DJ ; Xu, MY
	1998
关键词	Cayley graph normal Cayley (di)graph
英文摘要	Let G be a finite group and let S be a nonempty subset of G not containing the identity element 1. The Cayley (di) graph X = Cay(G, S) of G with respect to S is defined by V(X) = G, E(X) = {(g, sg) \g is an element of G, s is an element of S}. A Cayley (di)graph X = Cay(G, S) is said to he normal if R(G) (sic) A = Aut(X). A group G is said to have a normal Cayley (di)graph if G has a subset S such that the Cayley (di)graph X = Cay(G, S) is normal. It is proved that every finite group G has a normal Cayley graph unless G congruent to Z(4) x Z(2) or G congruent to Q(8) x Z(2)(r) (r greater than or equal to 0) and that every finite group has a normal Cayley digraph, where Z(m) is the cyclic group of order m and Q(8) is the quaternion group of order 8.; Mathematics, Applied; Mathematics; SCI(E); 4; ARTICLE; 3; 242-251; 41
语种	英语
出处	SCI
出版者	science in china series a mathematics physics astronomy
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/215928]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, CQ,Wang, DJ,Xu, MY. Normal Cayley graphs of finite groups. 1998-01-01.

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