二面体群D_(4pq)的连通3度Cayley图的正规性  

The Normality of 3-valent Cayley Graphs of Dihedral Groups of Order 4pq

作　　者：池建成 CHI Jiancheng(Department of Basics,Anhui Sanlian University,Hefei 230601,China)

机构地区：[1]安徽三联学院基础部,安徽合肥230601

出　　处：《安阳师范学院学报》2023年第2期5-8,共4页Journal of Anyang Normal University

基　　金：安徽三联学院自然科学重点研究项目(项目编号:KJZD2022001)。

摘　　要：通过群自同构与图同构的方法,对4pq(p,q为互不相同的奇素数)阶二面体群的连通3度Cayley图的正规性进行了分类,并给出了除一种同构类情形不正规外,其余均正规的结论。By means of group automorphism and graph isomorphism,classifying the normality of 3-valent Cayley groups with order 4pq,where p and q,odd prime numbers,are different from each other,this paper gives a conclusion that all the cases are normal except one isomorphic case.

关 键 词：二面体群 CAYLEY图 正规性 

分 类 号：O157.5[理学—数学]