Quasirandom and quasisimple groups
- Resource Type
- Working Paper
- Authors
- Barbieri, Marco; Sabatini, Luca
- Source
- Subject
- Mathematics - Group Theory
Mathematics - Representation Theory
Primary: 20D99, 20C99
- Language
Fix $\varepsilon>0$. We say that a finite group $G$ is $\varepsilon$-quasirandom if every nontrivial irreducible complex representation of $G$ has degree at least $|G|^\varepsilon$. In this paper, we give a structure theorem for large $\varepsilon$-quasirandom groups, and we completely classify the $\frac{1}{5}$-quasirandom groups.
Comment: 22 pages