Unisingular representations of rank 1 finite simple groups of Lie type
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Finite Group Theory Research
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Communications in Algebra
- Pages
- 1–30
- Publication date
- 19 August 2026
- Language
- EN