6p阶二面体群的弱3-CI性

Weak 3-CI Property of Dihedral Groups of Order 6p

利用图和群的方法,证明6p阶二面体群是弱3-CI群,并决定了它连通3度Cayley图的完全分类,得出6p阶二面体群可以分为1/2(3p+1)类互不同构的Cayley图.

We prove that the dihedral groups of order 6p are a weak 3-CI group,and determine the complete classification of its connected Cayley graphs of valencies 3.The dihedral groups of order 6p can be divided into 12（3p＋1） among different types of Cayley graph.