English

Simplicity of fusion systems of finite simple groups

Group Theory 2022-11-08 v2

Abstract

We determine for which known finite simple groups GG and which primes pp the pp-fusion system of GG 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)O^{p'}(\mathcal{F}) for arbitrary saturated fusion systems.

Keywords

Cite

@article{arxiv.2007.07578,
  title  = {Simplicity of fusion systems of finite simple groups},
  author = {Bob Oliver and Albert Ruiz},
  journal= {arXiv preprint arXiv:2007.07578},
  year   = {2022}
}