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Cohomological finiteness conditions for elementary amenable groups

Cohomological finiteness conditions for elementary amenable groups
Cohomological finiteness conditions for elementary amenable groups
It is proved that every elementary amenable group of type FP? admits a cocompact classifying space for proper actions.
bredon cohomology, elementary amenable group, proper classifying space, eilenberg–mac lane space, finite type
0075-4102
49-62
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Martinez-Perez, C.
cb55fc61-2a74-4072-93d3-74a882ad5fdc
Nucinkis, B.E.A.
41b6a278-1866-4585-84f5-601bb85636a2
Kropholler, P.H.
0a2b4a66-9f0d-4c52-8541-3e4b2214b9f4
Martinez-Perez, C.
cb55fc61-2a74-4072-93d3-74a882ad5fdc
Nucinkis, B.E.A.
41b6a278-1866-4585-84f5-601bb85636a2

Kropholler, P.H., Martinez-Perez, C. and Nucinkis, B.E.A. (2009) Cohomological finiteness conditions for elementary amenable groups. Journal für die reine und angewandte Mathematik, 2009 (637), 49-62. (doi:10.1515/CRELLE.2009.090).

Record type: Article

Abstract

It is proved that every elementary amenable group of type FP? admits a cocompact classifying space for proper actions.

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Published date: November 2009
Keywords: bredon cohomology, elementary amenable group, proper classifying space, eilenberg–mac lane space, finite type
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 349586
URI: http://eprints.soton.ac.uk/id/eprint/349586
ISSN: 0075-4102
PURE UUID: 15fd21cc-1ee5-42a6-b3c7-7ea030dc03ae
ORCID for P.H. Kropholler: ORCID iD orcid.org/0000-0001-5460-1512

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Date deposited: 11 Mar 2013 09:46
Last modified: 15 Mar 2024 03:46

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Contributors

Author: P.H. Kropholler ORCID iD
Author: C. Martinez-Perez
Author: B.E.A. Nucinkis

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