An uncountable family of 3-generated groups with isomorphic profinite completions
Group Theory
2013-03-28 v2
Abstract
We construct an uncountable family of 3-generated residually finite just-infinite groups with isomorphic profinite completions. We also show that word growth rate is not a profinite property.
Cite
@article{arxiv.1303.5782,
title = {An uncountable family of 3-generated groups with isomorphic profinite completions},
author = {Volodymyr Nekrashevych},
journal= {arXiv preprint arXiv:1303.5782},
year = {2013}
}
Comments
12 pages, 3 figures