Prime degree irreducible representations of simple algebraic groups and finite simple groups of Lie type

D. L. Flannery, A. E. Zalesski

Let $r,p$ be primes and $k$ be a positive integer. We show that if $G$ is a subgroup of $S{L}_r(p^k)$ lying only in the non-geometric Aschbacher class ${\mathcal{C}}_9$, then $|G|$ is…