Supersolvable closures of finitely generated subgroups of the free group
Abstract
Abstract We prove that the pro-(finite supersolvable) closure of a finitely generated subgroup of the free group is finitely generated. This extends similar results for pro-𝑝 closures proved by Ribes–Zalesskii and pro-(finite nilpotent) closures proved by Margolis–Sapir–Weil.
Fields of Study & Subjects
Geometric and Algebraic Topology
Advanced Topology and Set Theory
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Journal of Group Theory
- Publisher
- Walter de Gruyter GmbH
- Publication date
- 2 September 2026
- Language
- EN