Analogues of Goldschmidt's thesis for fusion systems

TL;DR

This paper generalizes Goldschmidt's thesis on fusion in finite groups to the broader context of saturated fusion systems across all primes, expanding the theoretical framework.

Contribution

It introduces a comprehensive extension of Goldschmidt's results from finite groups to saturated fusion systems for any prime.

Findings

Extended Goldschmidt's thesis to saturated fusion systems

Unified fusion results across all primes

Provided new theoretical insights into fusion system structure

Abstract

We extend the results of David Goldschmidt's thesis concerning fusion in finite groups to saturated fusion systems and to all primes.