The goal of this article is to study results and examples concerning finitely presented covers of finitely generated amenable groups. We collect examples of groupsÿGÿwith the following properties: (i)ÿGÿis finitely generated, (ii)ÿGÿis amenable, e.g. of intermediate growth, (iii) any finitely presented group with a quotient isomorphic toÿGÿcontains non-abelian free subgroups, or the stronger (iii?) any finitely presented group with a quotient isomorphic toÿGÿis large.
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Author Name: Mustafa G”khan Benli,ÿRostislav Grigorchuk
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Keywords: 16643607,Amenable groups without finitely presented amenable covers,16643607,Mustafa G”khan Benli,ÿRostislav Grigorchuk
ISSN: 16643607
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