Vertex-quasiprimitive 2-arc-transitive digraphs

Abstract

We study vertex-quasiprimitive 2-arc-transitive digraphs, reducing the problem of vertex-primitive 2-arc-transitive digraphs to almost simple groups. This includes a complete classification of vertex-quasiprimitive 2-arc-transitive digraphs where the action on vertices has O'Nan-Scott type SD or CD.

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