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

[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.

[发布日期] 2019-12-01

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