Supersolvable closures of finitely generated subgroups of the free group
arXiv:2209.08720
Abstract
We prove the pro-supersolvable closure of a finitely generated subgroup of the free group is finitely generated. It extends similar results for pro- closures proved by Ribes-Zalesskii and pro-Nilpotent closures proved by Margolis-Sapir-Weil.