两类二面体群的三度Cayley图的比较  

The Comparison of Three-Valency Cayley Graph of Two Classes of Dihedral Group

作　　者：董留栓[1] 霍振宏[2] 

机构地区：[1]中原工学院信息商务学院,郑州450007 [2]中原工学院理学院,郑州450007

出　　处：《长春大学学报》2012年第4期423-425,共3页Journal of Changchun University

基　　金：河南省教育厅自然科学指导性计划项目(201213508005)

摘　　要：对4m阶拟二面体群G=〈a,b|a2m=b2=1,ab=am+1〉和4阶半二面体群G=〈a,b|a2m=b2=1,ab=am-1〉且m=2r,r>2的3度Cayley图作比图。得到两者均有一个图是正规Cayley图且同构,且A1≌Z2的结论。Based on comparing three-valency Cayley graphs of quasi-dihedral groups of order 4m G = （ a, b｜ a2m = b2 = 1, ab = am＋1 ） with semi-dihedral groups of order 4m G = （ a, b｜ a2m = b2 = 1, ab = am- 1 ）, in which m = 2r and r 〉 2, this paper obtains that both of them have a normal Cayley graph, which is isomorphic, and A1≌Z2.

关 键 词：CAYLEY图 正规CAYLEY图 拟二面体群 半二面体群 

分 类 号：O157.5[理学—数学] O152.1[理学—基础数学]