Classifying spaces for proper actions of locally finite groups

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

Research output: Contribution to journalArticleResearchpeer-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 languageEnglish
Pages (from-to)453-480
JournalJournal of Group Theory
Volume5
DOIs
Publication statusPublished - 1 Jan 2002

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