交错群A62上的7度弧传递非正规Cayley图的全自同构群
The Full Automorphism Group of a Nonnormal Arc-Transitive 7-Valent Cayley Graph on the Alternating Group A62
DOI: 10.12677/PM.2018.83040, 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: 弧传递图；单群；自同构群；非正规Cayley图；Arc-Transitive Graph； Simple Group； Automorphism Group； Nonnormal Cayley Graph
摘要: 潘江敏教授等人在文章[Arc-transitive Cayley graphs on non-ableian simple groups with soluble vertex stabilizers and valency seven, arXiv:1707.09785v1, 2017]中构造了交错群A62上的一个7度弧传递非正规Cayley图。在本文中，我们将证明该图的全自同构群同构于A63。
Abstract: Pan et al. in [Arc-transitive Cayley graphs on non-ableian simple groups with soluble vertex stabi-lizers and valency seven, arXiv:1707.09785v1, 2017] constructed an example of a nonnormal arc-transitive 7-valent Cayley graph on the alternating group A62. In this paper, we will prove that the full automorphism group of this graph is isomorphic to A63.
文章引用：凌波. 交错群A62上的7度弧传递非正规Cayley图的全自同构群[J]. 理论数学, 2018, 8(3): 304-307. https://doi.org/10.12677/PM.2018.83040

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