Arc-transitive digraphs with quasiprimitive local actions

Michael Giudici, S. P. Glasby, Cai Heng Li +1

Let $\Gamma$ be a finite $G$-vertex-transitive digraph. The in-local action of $(\Gamma ,G)$ is the permutation group $L_{-}$ induced by the vertex-stabiliser on the set of in-neighbours of $v$…