无核的p度1-正则Cayley图
Core-Free 1-Regular Cayley Graphs of Valency p
DOI: 10.12677/AAM.2021.1010358, PDF,    国家自然科学基金支持
作者: 凌 波：云南民族大学数学与计算机科学学院，云南 昆明
关键词: 无核Cayley图；单群；自同构群；正规Cayley图；Core-Free Cayley Graph； Simple Group； Automorphism Group； Normal Cayley Graph
摘要: 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。
Abstract: 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.
文章引用：凌波. 无核的p度1-正则Cayley图[J]. 应用数学进展, 2021, 10(10): 3407-3411. https://doi.org/10.12677/AAM.2021.1010358

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