Vertex-quasiprimitive locally primitive Graphs

被引：0

作者：

Lou, Ben Gong ^{[1
]}

Li, Cai Heng ^{[2
]}

机构：

[1] Yunnan Univ, Sch Math & Stat, Kunming 650031, Yunnan, Peoples R China

[2] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2022年 / 55卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Vertex-quasiprimitive; Locally primitive; Arc-transitive; 2-ARC TRANSITIVE GRAPHS; CAYLEY-GRAPHS; FINITE;

D O I：

10.1007/s10801-021-01094-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that finite non-bipartite locally primitive arc-transitive graphs are normal covers of 'basic objects'-vertex quasiprimitive ones. Praeger in (J London Math Soc 47(2):227-239, 1993) showed that a quasiprimitive action of a group G on a nonbipartite finite 2-arc transitive graph must be one of four of the eight O'Nan-Scott types. In this paper, we classify the basic locally primitive graphs where the action on vertices has O'Nan-Scott type HS or HC, extending the well-known Praeger's result about 'basic' 2-arc transitive graphs.

引用

页码：1279 / 1288

页数：10

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