2012/06/11 by Benli, Mustafa Gokhan, Grigorchuk, Rostislav, De La Harpe, Pierre
#FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.1206.2072
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 G with the following properties: (i) G is finitely generated, (ii) G is amenable, e.g. of intermediate growth, (iii) any finitely presented group E with a quotient isomorphic to G contains non-abelian free subgroups, or the stronger (iii') any finitely presented group with a quotient isomorphic to G is large.