Can you give me an example of a finitely generated infinitely presented amenable group which is a quotient of a finitely presented amenable group?
Quotient of a f.p. amenable group
3
$\begingroup$
group-theory
geometric-group-theory
amenability
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0Lamplighter will not work because of a Theorem of R.Bieri and R.strebel which says: If $G$ is an infinitely presented metabelian group then any finitely presented covering group contains a nonabelian free group. – 2011-12-05
1 Answers
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An answer was given by Mark Sapir here:
https://mathoverflow.net/questions/82819/quotients-of-f-p-amenable-groups
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2You could accept your own answer so that this thread is considered as answered by the engine... :) – 2012-01-05