Unisingular representations of rank 1 finite simple groups of Lie type

Marco Antonio Pellegrini, Lorenzo Schena

A representation $\Phi :G\to {\mathrm{GL}}_n(\mathbb{F})$ of a finite group $G$ is called unisingular if the matrix $\Phi (g)$ admits $1$ as an eigenvalue for any $g\in G$. In this paper,…