Martin van Beek

collaborators

3 papers

math.GR2026

Fusion systems related to polynomial representations of $SL_{2} (q)$

Valentina Grazian, Chris Parker, Jason Semeraro +1

Let $q$ be a power of a fixed prime $p$ . We classify up to isomorphism all simple saturated fusion systems on a certain class of $p$ -groups constructed from the polynomial represen…

math.RT2025

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.GR2025

Groups with conjugacy classes of coprime sizes

Rachel D. Camina, Attila MarÃ³ti, Emanuele Pacifici +6

Suppose that $x$ , $y$ are elements of a finite group $G$ lying in conjugacy classes of coprime sizes. We prove that $⟨ x^{G} ⟩ \cap ⟨ y^{G} ⟩$ is an abelian nor…

Fusion systems related to polynomial representations of SL2​(q)

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

Groups with conjugacy classes of coprime sizes

Fusion systems related to polynomial representations of $SL_{2} (q)$

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