Simplicity of fusion systems of finite simple groups

Abstract

We determine for which known finite simple groups G and which primes p the p-fusion system of G is simple. This means first collecting together the results that were already known (and correcting two errors made in an earlier study of this question), and then handling the remaining cases. At the same time, we develop some new tools to use when determining Op'(F) for arbitrary saturated fusion systems. © 2021 American Mathematical Society.