Uncountably many groups of type FP
@article{Leary2015UncountablyMG, title={Uncountably many groups of type FP}, author={Ian J. Leary}, journal={Proceedings of the London Mathematical Society}, year={2015}, volume={117} }
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, ℓ2 , and compactly supported cohomology of these groups. For each n⩾4 we construct a closed aspherical n ‐manifold that admits an uncountable family of acyclic regular coverings with non‐isomorphic covering groups.
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