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