Unisingular representations of rank 1 finite simple groups of Lie type
Authors
Marco Antonio Pellegrini
Lorenzo Schena
Abstract
A representation $Φ: G \to \mathrm{GL}_n(\mathbb{F})$ of a finite group $G$ is called unisingular if the matrix $Φ(g)$ admits $1$ as an eigenvalue for any $g\in G$. In this paper, we determine all the complex irreducible unisingular representations of the finite simple groups of Lie type of rank $1$ and of the almost simple sporadic groups.
