# Finite homogeneous geometries

## TL;DR

This paper provides a classification proof for finite homogeneous geometries of high dimension that avoids reliance on the classification of finite simple groups, contributing to geometric and algebraic understanding.

## Contribution

It offers a new proof of the classification of finite homogeneous geometries that does not depend on the classification of finite simple groups.

## Key findings

- Classification of non-trivial, finite homogeneous geometries of high dimension.
- Proof does not rely on finite simple groups classification.
- Reproduces part of the author's DPhil thesis.

## Abstract

This paper reproduces the text of a part of the Author's DPhil thesis. It gives a proof of the classification of non-trivial, finite homogeneous geometries of sufficiently high dimension which does not depend on the classification of the finite simple groups.