32 p阶二面体群的CI性  

The CI Property of Dihedral Groups of Order 32 p

作　　者：杨霞 谢金华 徐尚进[1] YANG Xia;XIE Jin-hua;XU Shang-jin(l.College of Mathematics and Information Science,Guangxi University,Nanning 530004,China;Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China)

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004 [2]北京交通大学理学院,北京100044

出　　处：《南宁师范大学学报（自然科学版）》2020年第2期1-6,共6页Journal of Nanning Normal University：Natural Science Edition

基　　金：国家自然科学基金项目(10961004,11361006,11461004,11861012);广西自然科学基金项目(2015GXNSFAA139001)。

摘　　要：该文研究32 p阶二面体群G=〈a,b|a 16p=b 2=1,a b=a-1〉(其中p是奇素数)的连通3-,4-度无向Cayley图的CI性,完整地解决了3-元自逆生成子集的CI性问题,并决定了一批4-元(强)CI-子集的无限族.This paper researches the CI property of connected 3-,4-valent undirected Cayley graphs of dihedral groups of order 32 p,G=(a,b|a 16p=b 2=1,a b=a-1),where p is an odd prime.The paper completely solves the problem for CI property of 3-variable self-inverse generated subset,and determines the infinite families of a group of 4-element(strong)CI.

关 键 词：CAYLEY图 CI性 二面体群 

分 类 号：O157.5[理学—数学]