Author:  Ian J Leary

Affiliation:  University of Southampton

Abstract: We construct uncountably many discrete groups of type $FP$; 
in particular we construct groups of type $FP$ that do not embed in 
any finitely presented group.  We compute the ordinary, $\ell^2$- 
and compactly-supported cohomology of these groups.  For each 
$n\geq 4$ we construct a closed aspherical $n$-manifold that admits 
an uncountable family of acyclic regular coverings with non-isomorphic
covering groups.