On Products of Closed Subsets in Free Groups
Group Theory
2019-06-19 v1
Abstract
We present examples of closed subsets of a free group such that their product is not closed in the profinite topology. We discuss how to characterize a subset of a free group which is closed in the profinite topology and its product with any finitely generated subgroup of a free group is also closed in the profinite topology.
Keywords
Cite
@article{arxiv.1906.07275,
title = {On Products of Closed Subsets in Free Groups},
author = {Rita Gitik and Eliyahu Rips},
journal= {arXiv preprint arXiv:1906.07275},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1709.06542