On the profinite rigidity of surface groups and surface words
Group Theory
2020-10-16 v2 Geometric Topology
Abstract
Surface groups are determined among limit groups by their profinite completions. As a corollary, the set of surface words in a free group is closed in the profinite topology.
Cite
@article{arxiv.2008.12100,
title = {On the profinite rigidity of surface groups and surface words},
author = {Henry Wilton},
journal= {arXiv preprint arXiv:2008.12100},
year = {2020}
}
Comments
6 pages, no figures. Version 2 incorporates referees suggestions. This is the final version accepted for publication