English

On Closed Subsets of Free Groups

Group Theory 2017-09-20 v1

Abstract

We give two examples of a finitely generated subgroup of a free group and a subset, closed in the profinite topology of a free group, such that their product is not closed in the profinite topology of a free group.

Keywords

Cite

@article{arxiv.1709.06542,
  title  = {On Closed Subsets of Free Groups},
  author = {Rita Gitik and Eliyahu Rips},
  journal= {arXiv preprint arXiv:1709.06542},
  year   = {2017}
}
R2 v1 2026-06-22T21:48:31.408Z