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

Research output: Contribution to journalArticle

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
JournalJournal of Pure and Applied Algebra
DOIs
Publication statusAccepted/In press - 16 Apr 2019

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Linear Group
Digraph
Arc of a curve
Vertex of a graph
Socle
Simple group
Upper bound

Cite this

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title = "Vertex-primitive s-arc-transitive digraphs of linear groups",
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.",
keywords = "Digraphs, Linear groups, s-arc-transitive, Vertex-primitive",
author = "Michael Giudici and Li, {Cai Heng} and Binzhou Xia",
year = "2019",
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day = "16",
doi = "10.1016/j.jpaa.2019.04.009",
language = "English",
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publisher = "Elsevier",

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Vertex-primitive s-arc-transitive digraphs of linear groups. / Giudici, Michael; Li, Cai Heng; Xia, Binzhou.

In: Journal of Pure and Applied Algebra, 16.04.2019.

Research output: Contribution to journalArticle

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