无核的p度1-正则Cayley图

Core-Free 1-Regular Cayley Graphs of Valency p

设Γ=Cay(G,S)是群G上的Cayley图。称Γ为无核(关于G)的Cayley图,如果G在X中是无核的,其中G≤X≤AutΓ。本文对无核的p度1-正则Cayley图进行分类研究,其中p是一个奇素数。

Let Γ=Cay(G,S) be a Cayley graph of group G. Then Γ is said to be core-free if G is core-free in X, where G≤X≤AutΓ. We classify the p-valent 1-regular Cayley graphs in this paper, where p is a prime.