4p阶二面体群的弱3-CI性

The Weak 3-CI Property of Dihedral Groups of Order 4p

决定了4p(p是奇素数)阶二面体群的连通3度Cayley图的完全分类,并证明4p阶二面体群不是弱3-CI群,从而否定了C.H.Li关于"所有有限群都是弱3-CI群"

In this paper we decide the complete classification about connected Cayley graphs of valency 3 dihedral groups of order 4p （p is a prime of odd）, and prove that dihedral groups of order 4p is not weak 3- CI- group, which contradicts a conjecture posed by C.H. Li： All finite groups are weak 3- CI- groups.