The strong profinite genus of a finitely presented group can be infinite
Group Theory
2015-01-08 v2
Abstract
We construct the first example of a finitely-presented, residually-finite group that contains an infinite sequence of non-isomorphic finitely-presented subgroups such that each of the inclusion maps induces an isomorphism of profinite completions.
Keywords
Cite
@article{arxiv.1401.4084,
title = {The strong profinite genus of a finitely presented group can be infinite},
author = {Martin R. Bridson},
journal= {arXiv preprint arXiv:1401.4084},
year = {2015}
}
Comments
10 pages, no figures. Final version to appear in Journal of the European Math. Soc