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

9 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",

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AU - Leary, Ian J.

AU - Thomas, Simon

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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

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EP - 480

JO - Journal of Group Theory

JF - Journal of Group Theory

SN - 1433-5883

ER -