【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。更多还原

【Abstract】 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.更多还原