# 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.

## 22 Citations

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<jats:p>Previously one of us introduced a family of groups <jats:inline-formula><jats:alternatives><jats:tex-math>$$G^M_L(S)$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">…

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