Growth problems for representations of finite groups
Abstract
We give a general asymptotic formula for the growth rate of the number of indecomposable summands in the tensor powers of representations of finite groups, over a field of arbitrary characteristic. In characteristic zero we obtain additional results, including an exact formula for the growth rate. We compute various examples and also provide code used to compute our formulas.
Fields of Study & Subjects
Finite Group Theory Research
Publication details
- Journal / source
- Arkiv för matematik
- Publisher
- International Press of Boston
- Volume
- 64
- Issue
- 1
- Pages
- 91–120
- Publication date
- 1 January 2026
- Language
- EN