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-mani...
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| Format: | Article |
| Language: | English |
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2018-08.
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| Online Access: | Get fulltext Get fulltext Get fulltext |
| LEADER | 00901 am a22001573u 4500 | ||
|---|---|---|---|
| 001 | 385273 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Leary, Ian J. |e author |
| 245 | 0 | 0 | |a Uncountably many groups of type FP |
| 260 | |c 2018-08. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/385273/1/uctblefp.pdf | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/385273/2/uctblefp.pdf | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/385273/3/uctblefp.pdf | ||
| 520 | |a 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. | ||
| 540 | |a accepted_manuscript | ||
| 655 | 7 | |a Article | |