【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=b²=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,并得到该群的正规与非正规的Cayley图更多还原

【Abstract】 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 | a^8p =b²=1,a^b =a^4p+1,where p is odd prime.In addition we obtain an infinite family of normal and non-normal Cayley graphs of groupsof order 16p.更多还原