Finite Locally-quasiprimitive Graphs

• 作者: Caiheng Li Dianjun Wang Shujiao Song
• 来源期刊: 代数集刊:英文版
• 学科: 数学
• 关键词: 本原图 结构信息 点传递 顶点
• 年，卷（期）: 2014,（4）
• 页码范围: 627-634
• 页数: 8页
• 分类号: O157.5
• 语种: 中文

摘要

A graph F is called G-locally-quasiprimitive if each normal subgroup of Gv acts on F(v) trivially or transitively for every vertex v. In this paper we analyse the global action and the structural information of such groups G, extending the previous results for locally-primitive graphs and vertex-transitive locally-quasiprimitive graphs.