32 p阶二面体群的CI性

The CI Property of Dihedral Groups of Order 32 p

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.