Vertex-primitive s-arc-transitive digraphs of alternating and symmetric groups

被引：3

作者：

Pan, Jiangmin ^{[1
]}

Wu, Cixuan ^{[1
]}

Yin, Fugang ^{[2
]}

机构：

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

[2] Beijing Jiaotong Univ, Sch Sci, Beijing, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2020年 / 544卷

基金：

中国国家自然科学基金;

关键词：

Upper bound; s-arc-transitive digraph; Vertex-primitive; FINITE; SUBGROUPS;

D O I：

10.1016/j.jalgebra.2019.09.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A fascinating problem on digraphs is the existence problem of the finite upper bound on s for all vertex-primitive s-arc-transitive digraphs except directed cycles (which is known to be reduced to the almost simple groups case). In this paper, we prove that s <= 2 for all vertex-primitive s-arc-transitive digraphs for almost simple groups with socles alternating groups except one case. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：75 / 91

页数：17

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