Two-arc-transitive graphs of odd order - II

被引:5
|
作者
Li, Cai Heng [1 ]
Li, Jing Jian [2 ]
Lu, Zai Ping [3 ]
机构
[1] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
[2] Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, PR, Peoples R China
[3] Nankai Univ, Ctr Combinator, LPMC, Tianjin 300071, Peoples R China
关键词
2-ARC TRANSITIVE GRAPHS;
D O I
10.1016/j.ejc.2021.103354
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that each subgroup of odd index in an alternating group of degree at least 10 has all insoluble composition factors to be alternating. A classification is then given of 2-arc-transitive graphs of odd order admitting an alternating group or a symmetric group. This is the second of a series of papers aiming towards a classification of 2-arc-transitive graphs of odd order. (C) 2021 Elsevier Ltd. All rights reserved.
引用
收藏
页数:10
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