On subgroup growth of iterated wreath products in product action
Abstract
Abstract We show that there are hereditarily just infinite groups of any subgroup growth type between n and $$n^{\log n}$$ n log n . This is obtained by calculating the subgroup growth type of a family of hereditarily just infinite profinite groups obtained via iterated wreath products of finite permutation groups with respect to product actions.
Fields of Study & Subjects
Finite Group Theory Research
Advanced Topology and Set Theory
Geometric and Algebraic Topology
Publication details
- Journal / source
- Archiv der Mathematik
- Publication date
- 1 October 2026
- Language
- EN