Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups
Group Theory
2024-09-30 v1
Abstract
We determine all reduced saturated fusion systems supported on a finite -group of nilpotency class two. As a consequence, we obtain a new proof of Gilman & Gorenstein's classification of finite simple groups with class two Sylow -subgroups.
Keywords
Cite
@article{arxiv.2409.18870,
title = {Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups},
author = {Martin van Beek},
journal= {arXiv preprint arXiv:2409.18870},
year = {2024}
}