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Classifying spaces for proper actions of locally finite groups

Classifying spaces for proper actions of locally finite groups
Classifying spaces for proper actions of locally finite groups
For each finite ordinal n and each locally-finite group G of cardinality aleph n, we construct an (n+1)-dimensional model for the classifying space for proper G-actions. We use this complex to obtain information about the cohomology of G with free coefficients. Our techniques also give information about the location of large free abelian groups within Kropholler's hierarchy.
1433-5883
453-480
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Kropholler, Peter H.
31026457-8143-4750-832f-09ebf793d1c1
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Thomas, Simon
6269a307-6836-4103-8b19-d3eab3ac7c47
Dicks, Warren
2eb9d14c-93a0-4851-9aa6-eb2c50cab93a
Kropholler, Peter H.
31026457-8143-4750-832f-09ebf793d1c1
Leary, Ian J.
57bd5c53-cd99-41f9-b02a-4a512d45150e
Thomas, Simon
6269a307-6836-4103-8b19-d3eab3ac7c47

Dicks, Warren, Kropholler, Peter H., Leary, Ian J. and Thomas, Simon (2002) Classifying spaces for proper actions of locally finite groups. Journal of Group Theory, 5 (4), 453-480. (doi:10.1515/jgth.2002.016).

Record type: Article

Abstract

For each finite ordinal n and each locally-finite group G of cardinality aleph n, we construct an (n+1)-dimensional model for the classifying space for proper G-actions. We use this complex to obtain information about the cohomology of G with free coefficients. Our techniques also give information about the location of large free abelian groups within Kropholler's hierarchy.

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Published date: 2002

Identifiers

Local EPrints ID: 29840
URI: http://eprints.soton.ac.uk/id/eprint/29840
ISSN: 1433-5883
PURE UUID: 2dac0d4e-77b4-48e1-89f9-ec2322cac3c7
ORCID for Ian J. Leary: ORCID iD orcid.org/0000-0001-8300-4979

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Date deposited: 12 May 2006
Last modified: 18 Feb 2021 17:15

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Contributors

Author: Warren Dicks
Author: Peter H. Kropholler
Author: Ian J. Leary ORCID iD
Author: Simon Thomas

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