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.
机构:
Southern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R ChinaSouthern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
Li, Cai Heng
Li, Jing Jian
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Guangxi Univ, Sch Math & Informat Sci, Nanning 530004, Peoples R China
Coll & Univ Key Lab Math & Its Applicat, Nanning, Peoples R ChinaSouthern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
Li, Jing Jian
Lu, Zai Ping
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Nankai Univ, Ctr Combinator, LPMC, Tianjin 300071, Peoples R ChinaSouthern Univ Sci & Technol, Dept Math, Shenzhen, Peoples R China
机构:
Cent South Univ, Sch Math & Stat, HNP, LAMA, Changsha 410075, Hunan, Peoples R China
Jiangxi Univ Finance & Econ, Key Lab Data Sci Finance & Econ, Nanchang 330013, Jiangxi, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP, LAMA, Changsha 410075, Hunan, Peoples R China
机构:
Univ Primorska, IAM, Muzejski Trg 2, SI-6000 Koper, SloveniaUniv Primorska, IAM, Muzejski Trg 2, SI-6000 Koper, Slovenia
Bercic, Katja
Potocnik, Primoz
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Univ Primorska, IAM, Muzejski Trg 2, SI-6000 Koper, Slovenia
Univ Ljubljana, Fac Math & Phys, Jadranska 19, SI-1000 Ljubljana, Slovenia
IMFM, Jadranska 19, SI-1000 Ljubljana, SloveniaUniv Primorska, IAM, Muzejski Trg 2, SI-6000 Koper, Slovenia