M. van Beek

activity

20212024

collaborators

3 papers

math.RT2024

Lifting polynomial representations of $SL_{2} (p^{r})$ from $F_{p}$ to $Z / p^{s} Z$

Chris Parker, Martin van Beek

We describe all of the irreducible polynomial $F_{p} SL_{2} (p^{r})$ representations which lift to $(Z / p^{s} Z) SL_{2} (p^{r})$ representations for $s>1…

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…

Lifting polynomial representations of SL2​(pr) from Fp​ to Z/psZ

Rank 2 Amalgams and Fusion Systems

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

Lifting polynomial representations of $SL_{2} (p^{r})$ from $F_{p}$ to $Z / p^{s} Z$

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