Chris Parker

activity

20242026

collaborators

3 papers

math.GR2026

Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups

Valentina Grazian, Justin Lynd, Chris Parker +2

Suppose that $p$ is a prime and $X$ is a finite group with a strongly $p$ -embedded subgroup, for example a rank $1$ group of Lie type in characteristic $p$ . Let $m$ denote the $p$ -…

math.GR2025

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.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…

Modules with few Jordan blocks for rank 1 groups of Lie type and related groups

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

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

Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups

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

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