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

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We study G-vertex-primitive and (G,s)-arc-transitive digraphs for almost simple groups G with socle PSL n (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.

Original languageEnglish
JournalJournal of Pure and Applied Algebra
Publication statusPublished - Dec 2019


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