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
来源：
EUROPEAN JOURNAL OF COMBINATORICS | 2021年 / 96卷
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
相关论文
共 50 条
  • [41] Odd automorphisms in vertex-transitive graphs
    Hujdurovic, Ademir
    Kutnar, Klavdija
    Marusic, Dragan
    ARS MATHEMATICA CONTEMPORANEA, 2016, 10 (02)
  • [42] Tetravalent half-arc-transitive graphs of order p4
    Feng, Yan-Quan
    Kwak, Jin Ho
    Xu, Ming-Yao
    Zhou, Jin-Xin
    EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (03) : 555 - 567
  • [43] Tetravalent half-arc-transitive graphs of order 8p
    Xiuyun Wang
    Jihui Wang
    Yan Liu
    Journal of Algebraic Combinatorics, 2020, 51 : 237 - 246
  • [44] Tetravalent Half-arc-transitive Graphs of Order P,q,r
    Wang, Xiuyun
    PROCEEDINGS OF THE 2014 INTERNATIONAL CONFERENCE ON MECHATRONICS, ELECTRONIC, INDUSTRIAL AND CONTROL ENGINEERING, 2014, 5 : 993 - 996
  • [45] Tetravalent half-arc-transitive graphs of order 8p
    Wang, Xiuyun
    Wang, Jihui
    Liu, Yan
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2020, 51 (02) : 237 - 246
  • [46] Tetravalent half-arc-transitive graphs of order 2pq
    Yan-Quan Feng
    Jin Ho Kwak
    Xiuyun Wang
    Jin-Xin Zhou
    Journal of Algebraic Combinatorics, 2011, 33 : 543 - 553
  • [47] Hexavalent half-arc-transitive graphs of order 4p
    Wang, Xiuyun
    Feng, Yan-Quan
    EUROPEAN JOURNAL OF COMBINATORICS, 2009, 30 (05) : 1263 - 1270
  • [48] Tetravalent half-arc-transitive graphs of order 2pq
    Feng, Yan-Quan
    Kwak, Jin Ho
    Wang, Xiuyun
    Zhou, Jin-Xin
    JOURNAL OF ALGEBRAIC COMBINATORICS, 2011, 33 (04) : 543 - 553
  • [49] TETRAVALENT ARC-TRANSITIVE GRAPHS OF ORDER 3p2
    Ghasemi, Mohsen
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2014, 34 (03) : 567 - 575
  • [50] Tetravalent half-arc-transitive graphs of order 12p
    Ghasemi, M.
    Mehdipoor, N.
    Talebi, A. A.
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024, 9 (01) : 145 - 157
12345