On some integral properties of dimensions in Isaacs fusion categories
Abstract
Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category. This divisibility result implies the converse direction of an Ito–Michler‐type result for modular fusion categories, obtained previously by the author.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Finite Group Theory Research
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 1
- Publication date
- 1 July 2026
- Language
- EN