一类非正则p-群的非正规Cayley图

Nonnormal Cayley Graphs of a class of irregular p-groups

冯衍全等证明 ,设 p是一个奇素数 ,G是一个有限正则 p 群 ,那么 ,G的任何连通的 2度有向Cayley图都是G的正规Cayley图 .本文给出了一类非正则 p 群 ,它的每个群都存在一个连通的 2度的非正规的有向Cayley图 .

Feng yan\|quan et al showed that,for odd prime p and regular p groups G ,connected Cayley digraphs with valency 2 of G are normal Cayley graphs of G .In this paper,we give a class of irregular p groups shch that each of groups in the class has a connected nonnormal Cayley digraph with valency 2.