# Vertex-quasiprimitive $2$-arc-transitive digraphs

## TL;DR

This paper classifies and analyzes vertex-quasiprimitive 2-arc-transitive digraphs, reducing the problem to almost simple groups and providing a complete classification for certain types based on O'Nan-Scott types.

## Contribution

It introduces a reduction of the vertex-primitive case to almost simple groups and classifies vertex-quasiprimitive 2-arc-transitive digraphs for specific O'Nan-Scott types.

## Key findings

- Complete classification for SD and CD types
- Reduction to almost simple groups
- Insights into vertex-quasiprimitive digraph structure

## 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.