摘要
研究3p阶(p是大于3的素数)亚循环群的连通4度Cayley图.主要决定了其全自同构群的结构,并由此得到这类图的CI性、正规性和弧传递性.用到单群分类定理.
In this paper, authors study the connected tetravalent Cayley graphs of metecyclic groups with order 3p (p 〉 3, a prime). They mainly determine the structure of their full automorphism groups, and then obtain their CI property, normality and arc-transitive property. By the way, the conclusion here depends on the classification of the finite simple groups.
出处
《数学的实践与认识》
CSCD
北大核心
2010年第5期162-168,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10961004)
广西科学基金(0832054)
广西研究生教育创新计划资助项目(105930903100).
关键词
亚循环群
正规CAYLEY图
弱m—cI性
单群分类定理.
Metacyclic group
normal Cayley graph
weak CI property
the classification theorem of simple groups.