Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type

Martin van Beek

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arXiv · 2302.02222

Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type

Martin van Beek

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Abstract

For any prime $p$ and $S$ a $p$-group isomorphic to a Sylow $p$-subgroup of a rank $2$ simple group of Lie type in characteristic $p$, we determine all saturated fusion systems supported on $S$ up to isomorphism.

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Martin van Beek. 2023-02-04. Saturated Fusion Systems on Sylow $p$-subgroups of Rank $2$ Simple Groups of Lie Type. https://arxiv.org/abs/2302.02222

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