2p^(2)阶非交换群上的正规边传递Cayley图  

Normal edge-transitive Cayley graphs on nonabelian groups of order 2p^(2)

作　　者：李诺 邓奇 张华[1] LI Nuo;DENG Qi;ZHANG Hua(Department of Mathematics,Yunnan Normal University,Kunming 650500,China;College of Arts and Sciences Kunming,Kunming 650222,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500 [2]昆明文理学院,云南昆明650222

出　　处：《纯粹数学与应用数学》2024年第4期688-702,共15页Pure and Applied Mathematics

基　　金：国家自然科学基金(11561078,11161058).

摘　　要：本文对一类具体的2p^(2)(p是一个奇素数)阶非交换群G,先列出来群G的结构,接着分析了群G中元素之间的关系,得到了G的自同构群.然后对群G上的3度和4度正规边传递Cayley图进行了讨论,最后刻画并分类了这类群G上的正规边传递Cayley图.Let G be a nonabelian group of order 2p^(2)(p is an odd prime).In this paper,we present the structure information of G,analyz the relations between the elements of G,and obtain automorphism groups of Gfirstly,then we investigate the trivalent and tetravalent normal edge-transitive Cayley graphs on such groups,andfinally the normal edge-transitive Cayley graphs on group G are described and classified.

关 键 词：CAYLEY图 正规边传递 对称图 

分 类 号：O157.5[理学—数学]