一类3p^n阶亚循环群的4度Cayley图  

Tetravalent Cayley Graphs on a Kind of Metacyclic Groups with Order 3p^n

作　　者：徐尚进[1] 郭松涛[1] 李德雪[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西科学》2008年第2期105-108,112,共5页Guangxi Sciences

基　　金：广西自然科学基金项目(0542044);广西研究生教育创新计划项目(2007105930701M33)资助

摘　　要：采用群与图的方法,研究一类3pn阶亚循环群的连通4度无向Cayley图.通过决定Caley图的自同构群得出此类亚循环群是弱4-CI的,并由此给出3pn亚循环群的连通4度无向Cayley图的完全分类,最后证明此类图都正规而且非弧传递.A kind of metacyclic groups with order 3p^n was researched by using the group-theoretic and graphic methods. Though determining the full automorphism groups of these Cayley graphs,we have that the group is a weak 4-CI group and then determine the complete classification of its connected tetravalent Cayley graphs. Finally,we prove that all these Cayley graphs are normal but no arc-transitive.

关 键 词：有限群 正规CAYLEY图 弱CI性 

分 类 号：O157[理学—数学]