Vertex-primitive s-arc-transitive digraphs of linear groups

JOURNAL OF PURE AND APPLIED ALGEBRA

卷:223

Article

Giudici, Michael¹  Li, Cai Heng²  Xia, Binzhou³ 

[1] Univ Western Australia, Dept Math & Stat, Crawley, WA 6009, Australia

[2] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China

[3] Univ Melbourne, Sch Math & Stat, Parkville, Vic 8010, Australia

关键词: Digraphs;    Vertex-primitive;    s-arc-transitive;    Linear groups;   

DOI  :  10.1016/j.jpaa.2019.04.009

来源: Elsevier

【 摘 要 】

We study G-vertex-primitive and (G, s)-arc-transitive digraphs for almost simple groups G with socle PSLn(q). We prove that s <= 2 for such digraphs, which provides the first step in determining an upper bound on s for all the vertex-primitive s-arc-transitive digraphs. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

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