4p^(2)阶广义四元数群的连通3度Cayley图  

Connected 3-valent Cayley Graphs of Generalized Quaternion Groups of Order 4p^(2)

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：《广西民族大学学报（自然科学版）》2023年第4期80-84,94,共6页Journal of Guangxi Minzu University ：Natural Science Edition

基　　金：安徽省教育厅科研重点项目(2023AH051697);安徽三联学院自然科学重点研究项目(KJZD2022001)。

摘　　要：对于有限群G,通过下列方式构造群G的Cayley图:V(Г)=G,E(Г)={(g,sg)|g∈G,s∈S}。文章对4p^(2)阶广义四元数群的三元生成子集给出分类,通过查圈的方法得出两种同构类Cayley图是非正规的,其余皆是正规的结论。For finite group G,the Cayley graph of group G is constructed in the following way:V(Г)=G,E(Г)={(g,sg)|g∈G,s∈S}.In this paper,we give two classifications for the 3-ary generating subsets of generalized quaternion groups of order 4p^(2),and concludes through the method of looking up cycles that two isomorphic Cayley graphs are non-normal,while the rest are normal.

关 键 词：广义四元数群 CAYLEY图 正规性 3度 

分 类 号：O157.5[理学—数学]