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无核的p度1-正则Cayley图
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Abstract:
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.
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