2p^2q^2阶二面体群的3度Cayley图  

Cubic Cayley Graphs on Dihedral Group with Order 2p^2q^2

作　　者：徐尚进[1] 刘响林[1] 刘翠明[2] 李靖建[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]万州上海中学,重庆万州404100

出　　处：《广西师范学院学报（自然科学版）》2013年第2期8-11,共4页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：国家自然科学基金项目(10961004);广西科学基金项目(0832054;2013GXNSFA);广西大学科研基金资助项目(XBZ110328)

摘　　要：称有限群G的Cayley图Γ是正规Cayley图,如果G的右正则表示R(G)Aut(Γ).该文主要证明了2p2q 2阶二面体群连通3度Cayley图的正规性,其中p>q均为奇素数.作为应用,还证明了Aut(Γ)是可解群.A Cayley graph r of a finite group G is said to be normal if the action of G on V（f＇） by right multiplication is normal in the full automorphism group of. In this paper, the authors mainly research the normality of connected cubic Cayley graph on Dihedral group with order 2p2q2 , where both p〉q are odd primes. As an application, they determine that the full automorphism group of is solvable. The classification of the finite simple groups is used here.

关 键 词：CAYLEY图 正规性 二面体群 

分 类 号：O157.5[理学—数学]