三类10p阶群上的2度Cayley有向图的正规性  

The normality of Cayley dipgraphs of valency on three kind of Groups with Order 10p

作　　者：刘响林[1] 徐尚进[2] 刘翠明[3] 

机构地区：[1]广西大学行健文理学院,广西南宁530005 [2]广西大学,广西南宁530004 [3]重庆市万州上海中学,重庆404000

出　　处：《钦州学院学报》2014年第11期32-36,共5页Journal of Qinzhou University

摘　　要：群G的Cayley有向图Γ=Cay(G,S)叫做正规的,如果G的右正则表示R(G)在Γ的全自同构Aut(Γ)中正规.决定了10p(p素数)阶交换群和三类非交换群上的2度有向图的正规性,得到了3个新的2度非正规Cayley有向图.A Cayley digraph Г = Cay（ G,S） is called normal for G if the right representation R（ G） of G is normal in the full automorphism group Aut（ Г）. As for given three kind of Groups with Order 10 p,the normality of 2-valent directed Cayley graphs is determined,and three new non-normal 2-valent directed Cayley graph are found.

关 键 词：CAYLEY有向图 正规Cayley有向图 自同构群 

分 类 号：O152[理学—数学]