The smallest vertex-primitive 2-arc-transitive digraph

In 2017, Giudici, Li and the third author constructed the first known family of vertex-primitive 2-arc-transitive digraphs of valency at least 2. The smallest digraph in this family admits PSL3(49) acting 2-arc-transitively with vertex-stabilizer A6 and hence has 30758154560 vertices. In this paper,...

Full description

Saved in:
Bibliographic Details
Published in:Journal of algebra 2023-07, Vol.626, p.1-38
Main Authors: Yin, Fu-Gang, Feng, Yan-Quan, Xia, Binzhou
Format: Article
Language:English
Subjects:
2-arc-transitive digraph
Automorphism group of digraph
Primitive group
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In 2017, Giudici, Li and the third author constructed the first known family of vertex-primitive 2-arc-transitive digraphs of valency at least 2. The smallest digraph in this family admits PSL3(49) acting 2-arc-transitively with vertex-stabilizer A6 and hence has 30758154560 vertices. In this paper, we prove that this digraph is the vertex-primitive 2-arc-transitive digraph of valency at least 2 with fewest vertices.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2023.02.028