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.
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)
