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

Michael Giudici, Cai Heng Li, Binzhou Xia

Research output: Contribution to journalArticlepeer-review

5 Citations (Web of Science)

Abstract

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
Pages (from-to)5455-5483
Number of pages29
JournalJournal of Pure and Applied Algebra
Volume223
Issue number12
DOIs
Publication statusPublished - Dec 2019

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