关于PSL(3,p)上的3度s-弧传递图的一个注记
A Note on Cubic s-Arc-Transitive Graph Admitting an Automorphism Group PSL(3,p)
DOI: 10.12677/PM.2022.128141, PDF,    科研立项经费支持
作者: 秦靖玻：云南财经大学，统计与数学学院，云南 昆明
关键词: 特殊射影线性群；极大子群；弧传递图；Special Projective Linear Group； Maximal Subgroup； Arc-Transitive Graph
摘要: 如果一个图的自同构子群G在图的4-弧集上的作用是传递的，则称该图是(G,4)-弧传递的。本文运用三维特殊射影线性群的子群结构以及相关群论的知识，构造了一类新的连通的3度(PSL(3,p),4)-弧传递图，其中p≡3(mod8)为素数。
Abstract: A graph is said to be (G,4)-arc-transitive if its automorphism subgroup G acts transitively on its 4-arcs. In this paper, we construct a new family of connected cubic (PSL(3,p),4)-transitive graphs by using the subgroup structure of special projective linear groups and the knowledge of related group theory, where p is a prime and p≡3(mod8).
文章引用：秦靖玻. 关于PSL(3,p)上的3度s-弧传递图的一个注记[J]. 理论数学, 2022, 12(8): 1291-1295. https://doi.org/10.12677/PM.2022.128141

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