Fusion Systems and Simple Groups With Class Two Sylow p-subgroups

2024/09/27 by Martin van Beek, van Beek, Martin
Mathematics · #20D05 #20D20 #20E42 #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2409.18870

openalex publication_date 2024/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine all reduced saturated fusion systems supported on a finite p-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 2-subgroups.

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