一类16p阶群的三度Cayley图的正规性  

Cayley Graphs of Three Valencies of Graphs of Order 16p

作　　者：董留栓[1] 霍振宏[2] 王长群[3] 

机构地区：[1]中原工学院信息商务学院基础学科部,河南郑州450007 [2]中原工学院理学院,河南郑州450007 [3]郑州大学数学统计学院,河南郑州450052

出　　处：《数学的实践与认识》2013年第23期275-279,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10961004);河南省基金项目(2010A110021)

摘　　要：有限群G的一个Cayley图X=Cay(G,S)称为正规的,如果右乘变换群R(G)在AutX中正规.研究了一类16p阶群G=〈a,b|a^(8p)=b^2=1,a^b=a^(4p-1)〉的3度无向连通Cayley图的正规性,其中p为奇素数。A Cayley graph X = Cay（G, S） of a finite group G is said to be normal if R（G）, the group of right multiplications, is normal in AutX. In this paper, by investigating the nomality, we classify 3-valent connected Cayley graphs of groups of order 16p, G = 〈a, b ｜ α^8p = b^2 = 1,a^b = a4p＋l）, where p is odd prime. In addition we obtain an infinite family of normal and non-normal Cavlev ~raDhs of ~rouDsof order 16p.

关 键 词：CAYLEY图 正规CAYLEY图 

分 类 号：O157.5[理学—数学]