Uncountably many groups of type FP
Uncountably many groups of type FP
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, ℓ 2, and compactly-supported cohomology of these groups. For each n at least four we construct a closed aspherical n-manifold that admits an uncountable family of acyclic regular coverings with non-isomorphic covering groups.
246-276
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
August 2018
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Leary, Ian J.
(2018)
Uncountably many groups of type FP.
Proceedings of the London Mathematical Society, 117 (2), .
(doi:10.1112/plms.12135).
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, ℓ 2, and compactly-supported cohomology of these groups. For each n at least four 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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uctblefp.pdf
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uctblefp
- Author's Original
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uctblefp.pdf
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In preparation date: 21 December 2015
Submitted date: 21 February 2017
Accepted/In Press date: 20 February 2018
e-pub ahead of print date: 30 March 2018
Published date: August 2018
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 385273
URI: http://eprints.soton.ac.uk/id/eprint/385273
ISSN: 0024-6115
PURE UUID: 92e7ee87-be3e-40b1-8ce7-444ffe958d9a
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Date deposited: 18 Jan 2016 14:37
Last modified: 15 Mar 2024 03:36
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