%0 Journal Article
%T 无核的p度1-正则Cayley图<br>Core-Free 1-Regular Cayley Graphs of Valency p
%A 凌波
%J Advances in Applied Mathematics
%P 3407-3411
%@ 2324-8009
%D 2021
%I Hans Publishing
%R 10.12677/AAM.2021.1010358
%X 设Γ=Cay(G,S)是群G上的Cayley图。称<span>Γ</span>为无核(关于G)的Cayley图，如果G在X中是无核的，其中G≤X≤Aut<span>Γ</span>。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。<br />
Let <span>Γ=Cay(G,S)</span> be a Cayley graph of group G. Then <span>Γ</span> is said to be core-free if G is core-free in X, where <span>G≤X≤Aut</span><span>Γ</span>. We classify the p-valent 1-regular Cayley graphs in this paper, where p is a prime.
%K 无核Cayley图，单群，自同构群，正规Cayley图<br>Core-Free Cayley Graph
%K Simple Group
%K Automorphism Group
%K Normal Cayley Graph
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=45947