The smallest vertex-primitive 2-arc-transitive digraph

被引：2

作者：

Yin, Fu-Gang ^{[1
,2
]}

Feng, Yan-Quan ^{[2
]}

Xia, Binzhou ^{[3
]}

机构：

[1] Cent South Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China

[3] Univ Melbourne, Sch Math & Stat, Parkville, Vic 3010, Australia

来源：

JOURNAL OF ALGEBRA | 2023年 / 626卷

基金：

中国国家自然科学基金;

关键词：

2-arc-transitive digraph; Primitive group; Automorphism group of digraph; ARC-TRANSITIVE DIGRAPHS; MAXIMAL-SUBGROUPS; FINITE; FACTORIZATIONS; ORDERS;

D O I：

10.1016/j.jalgebra.2023.02.028

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 2017, Giudici, Li and the third author constructed the first known family of vertex-primitive 2-arc-transitive digraphs of valency at least 2. The smallest digraph in this family admits PSL3(49) acting 2-arc-transitively with vertex-stabilizer A6 and hence has 30758154560 vertices. In this paper, we prove that this digraph is the vertex-primitive 2-arc-transitive digraph of valency at least 2 with fewest vertices.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：1 / 38

页数：38

共 27 条

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