M. van Beek

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20212024

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math.GR2022

Rank 2 Amalgams and Fusion Systems

Martin van Beek

We classify fusion systems $F$ in which $O_{p} (F) = {1}$ , and there are two $Aut_{F} (S)$ -invariant essential subgroups whose normalizer systems…

math.GR2021

Fusion Systems on a Sylow $p$ -subgroup of $G_{2} (p^{n})$ or $PSU_{4} (p^{n})$

Martin van Beek

For any prime $p$ and $S$ a $p$ -group isomorphic to a Sylow $p$ -subgroup of $G_{2} (p^{n})$ or $PSU_{4} (p^{n})$ with $n \in N$ , we determine all saturated fusion sy…

Rank 2 Amalgams and Fusion Systems

Fusion Systems on a Sylow p-subgroup of G2​(pn) or PSU4​(pn)

Fusion Systems on a Sylow $p$ -subgroup of $G_{2} (p^{n})$ or $PSU_{4} (p^{n})$