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We construct uncountably many discrete groups of type    F  P    ;  in particular we construct groups of type    F  P    that do not embed in any finitely presented group. We compute the ordinary,    ℓ  2   , 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.

Uncountably many groups of type F P