3度非弧传递无核Cayley图
Core-Free Nonsymmetric Cayley Graphs of Valency 3
DOI: 10.12677/PM.2021.1110196, PDF,    国家自然科学基金支持
作者: 李婉婷, 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。
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. Let H be the stabilizer of 1∈VΓ in X. We classify the 3-valent nonsymmetric Cayley graphs where H=16 in this paper.
文章引用：李婉婷, 凌波. 3度非弧传递无核Cayley图[J]. 理论数学, 2021, 11(10): 1747-1751. https://doi.org/10.12677/PM.2021.1110196

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