Amenable groups without finitely presented amenable covers
Group Theory
2013-05-06 v3
Abstract
The goal of this article is to study results and examples concerning finitely presented covers of finitely generated amenable groups. We collect examples of groups with the following properties: (i) is finitely generated, (ii) is amenable, e.g. of intermediate growth, (iii) any finitely presented group with a quotient isomorphic to contains non-abelian free subgroups, or the stronger (iii') any finitely presented group with a quotient isomorphic to is large.
Cite
@article{arxiv.1206.2072,
title = {Amenable groups without finitely presented amenable covers},
author = {Mustafa Gokhan Benli and Rostislav Grigorchuk and Pierre De La Harpe},
journal= {arXiv preprint arXiv:1206.2072},
year = {2013}
}