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arXiv · 2210.01013

Rank 2 Amalgams and Fusion Systems

Martin van Beek
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Abstract

We classify fusion systems $\mathcal{F}$ in which $O_p(\mathcal{F})=\{1\}$, and there are two $\mathrm{Aut}_{\mathcal{F}}(S)$-invariant essential subgroups whose normalizer systems generate $\mathcal{F}$. We employ the amalgam method and, as a bonus, obtain $p$-local characterizations of certain rank $2$ group amalgams whose parabolic subgroups involve strongly $p$-embedded subgroups.

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Martin van Beek. 2022-10-03. Rank 2 Amalgams and Fusion Systems. https://arxiv.org/abs/2210.01013

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