On double cosets in free groups
Group Theory
2013-06-04 v1
Abstract
It is shown that for any finitely generated subgroups H and K of a free group F, and for any element g in F the double coset HgK is closed in the profinite topology of F.
Keywords
Cite
@article{arxiv.1306.0033,
title = {On double cosets in free groups},
author = {Rita Gitik and Eliyahu Rips},
journal= {arXiv preprint arXiv:1306.0033},
year = {2013}
}
Comments
This paper was written many years ago, but has never been published. The main theorem of the paper has been reproved and improved many times, however, the argument presented here has never been reproduced. It is extremely short and elegant, and the paper is only 2 pages long