Profinite completion of Grigorchuk's group is not finitely presented
Group Theory
2012-06-13 v2
Abstract
In this paper we prove that the profinite completion of the Grigorchuk group is not finitely presented as a profinite group. We obtain this result by showing that is infinite dimensional. Also several results are proven about the finite quotients including minimal presentations and Schur Multipliers.
Keywords
Cite
@article{arxiv.1011.3880,
title = {Profinite completion of Grigorchuk's group is not finitely presented},
author = {Mustafa Gokhan Benli},
journal= {arXiv preprint arXiv:1011.3880},
year = {2012}
}