Examples of Poincaré duality groups. (English) Zbl 0709.57025

The purpose of this note is to exhibit examples of Poincaré duality groups which are not residually finite and examples which contain infinitely divisible rank 1 abelian subgroups. In answer to a question, Gromov pointed out to me that examples with infinitely divisible rank 1 abelian subgroups were implicit in a paper of M. W. Davis [Ann. Math., II. Ser. 117, 293-324 (1983; Zbl 0531.57041)]. Here, I have enlarged slightly on this observation.


57S30 Discontinuous groups of transformations
57R19 Algebraic topology on manifolds and differential topology


Zbl 0531.57041
Full Text: DOI