Classifying spaces for proper actions of locally finite groups

Warren Dicks; Peter H. Kropholler; Ian J. Leary; Simon Thomas

doi:https://doi.org/10.1515/jgth.2002.016

Classifying spaces for proper actions of locally finite groups

Warren Dicks, Peter H. Kropholler, Ian J. Leary, Simon Thomas

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

11 Citations (Scopus)

Abstract

For each finite ordinal n, and each locally finite group G of cardinality אn, we construct an (n + 1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy H F-fraktur sign.

Original language	English
Pages (from-to)	453-480
Journal	Journal of Group Theory
Volume	5
DOIs	https://doi.org/10.1515/jgth.2002.016
Publication status	Published - 1 Jan 2002

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title = "Classifying spaces for proper actions of locally finite groups",

abstract = "For each finite ordinal n, and each locally finite group G of cardinality אn, we construct an (n + 1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy H F-fraktur sign.",

author = "Warren Dicks and Kropholler, {Peter H.} and Leary, {Ian J.} and Simon Thomas",

year = "2002",

month = jan,

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doi = "https://doi.org/10.1515/jgth.2002.016",

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AU - Dicks, Warren

AU - Kropholler, Peter H.

AU - Leary, Ian J.

AU - Thomas, Simon

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Y1 - 2002/1/1

N2 - For each finite ordinal n, and each locally finite group G of cardinality אn, we construct an (n + 1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy H F-fraktur sign.

AB - For each finite ordinal n, and each locally finite group G of cardinality אn, we construct an (n + 1)-dimensional, contractible CW-complex on which G acts with finite stabilizers. We use the complex to obtain information about cohomology with induced coefficients. Our techniques also give information about the location of some large free abelian groups in the hierarchy H F-fraktur sign.

U2 - https://doi.org/10.1515/jgth.2002.016

DO - https://doi.org/10.1515/jgth.2002.016

M3 - Article

VL - 5

SP - 453

EP - 480

JO - Journal of Group Theory

JF - Journal of Group Theory

SN - 1433-5883

ER -

Classifying spaces for proper actions of locally finite groups

Abstract

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