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 ${\mathrm{PSL}}_n(q)$. It turns out 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.

Cited by in corpus (1)

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