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

Michael Giudici; Cai Heng Li; Binzhou Xia

doi:10.1016/j.jpaa.2019.04.009

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

Michael Giudici, Cai Heng Li, Binzhou Xia

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	5455-5483
Number of pages	29
Journal	Journal of Pure and Applied Algebra
Volume	223
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2019.04.009
Publication status	Published - Dec 2019

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10.1016/j.jpaa.2019.04.009

https://arxiv.org/abs/1710.09518

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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. ",

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AU - Xia, Binzhou

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AB - 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.

KW - Digraphs

KW - Linear groups

KW - s-arc-transitive

KW - Vertex-primitive

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ER -

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

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