Fusion Systems on a Sylow $p$-subgroup of $\mathrm{G}_2(p^n)$ or $\mathrm{PSU}_4(p^n)$

DOI10.1016/J.JALGEBRA.2022.09.011zbMath1515.20102arXiv2108.11691MaRDI QIDQ6376055

Martin van Beek

Publication date: 26 August 2021

Abstract: For any prime $p$ and $S$ a $p$-group isomorphic to a Sylow $p$-subgroup of $mathrm{G}_2(p^n)$ or $mathrm{PSU}_4(p^n)$ with $ninmathbbN$, we determine all saturated fusion systems supported on $S$ up to isomorphism.

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Finite simple groups and their classification (20D05)

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