3度非弧传递无核Cayley图

Core-Free Nonsymmetric Cayley Graphs of Valency 3

设Γ=Cay(G,S)是群G上的Cayley图。称Γ为无核的,如果G在X中是无核的,其中G≤X≤AutΓ。用H表示1∈VΓ在X中的点稳定子。本文对H=16时,度数为3的非弧传递图Γ进行分类研究。

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. Let H be the stabilizer of 1∈VΓ in X. We classify the 3-valent nonsymmetric Cayley graphs where H=16 in this paper.