Rank 2 Amalgams and Fusion Systems

DOI10.1007/978-3-031-54461-3arXiv2210.01013MaRDI QIDQ6412752

Martin van Beek

Publication date: 3 October 2022

Abstract: We classify fusion systems $mathcalF$ in which $O_p(mathcalF)=1$, and there are two $mathrm{Aut}_{mathcalF}(S)$-invariant essential subgroups whose normalizer systems generate $mathcalF$. 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.

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to group theory (20-02) Abstract finite groups (20Dxx)

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