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arXiv · 2409.18870

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

Martin van Beek
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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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Martin van Beek. 2024-09-27. Fusion Systems and Simple Groups With Class Two Sylow $p$-subgroups. https://arxiv.org/abs/2409.18870

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