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

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
Journal	Journal of Pure and Applied Algebra
DOIs	https://doi.org/10.1016/j.jpaa.2019.04.009
Publication status	Published - Dec 2019

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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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doi = "10.1016/j.jpaa.2019.04.009",

language = "English",

journal = "Journal of Pure and Applied Algebra",

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AU - Giudici, Michael

AU - Li, Cai Heng

AU - Xia, Binzhou

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N2 - 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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KW - Digraphs

KW - Linear groups

KW - s-arc-transitive

KW - Vertex-primitive

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