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

1 Citation (Scopus)

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

Access to Document

10.1016/j.jpaa.2019.04.009

https://arxiv.org/abs/1710.09518

Cite this

@article{739794dea8434cc1952f5d75622c8e56,

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",

month = dec,

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

language = "English",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

}

TY - JOUR

T1 - Vertex-primitive s-arc-transitive digraphs of linear groups

AU - Giudici, Michael

AU - Li, Cai Heng

AU - Xia, Binzhou

PY - 2019/12

Y1 - 2019/12

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.

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

UR - http://www.scopus.com/inward/record.url?scp=85064321866&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2019.04.009

DO - 10.1016/j.jpaa.2019.04.009

M3 - Article

AN - SCOPUS:85064321866

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this