On the profinite rigidity of triangle groups
Group Theory
2021-10-04 v1 Geometric Topology
Number Theory
Abstract
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, i.e. each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. We also develop a method based on character varieties that can be used to distinguish between the profinite completions of certain groups.
Cite
@article{arxiv.2004.07137,
title = {On the profinite rigidity of triangle groups},
author = {M. R. Bridson and D. B. McReynolds and A. W. Reid and R. Spitler},
journal= {arXiv preprint arXiv:2004.07137},
year = {2021}
}
Comments
v1, 11 pages