Subject: Another response to the question by Rudyak From: Adam Przezdziecki Date: Mon, 13 Feb 2006 21:02:38 +0100 (CET) > > Subject: question > > From: Yuli Rudyak > > Date: Tue, 7 Feb 2006 22:49:03 -0500 (EST) > > > > I have a question for the list. > > Do you know an example of a finitely presented group $G$ such that > > $b_1(G)=0$ > > bit $b_2(G)>0$ (here $b_i$ is the Betti number)? Another reference for this question is: G. Baumslag, E. Dyer, A. Heller, The topology of discrete groups. J. Pure Appl. Algebra 16 (1980), no. 1, 1-47. For any finite, connected CW-complex they construct a finitely presented group with the same homology as the CW-complex. Adam Przezdziecki