Classifying spaces for proper actions of locally finite groups

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

Research output: Contribution to journalArticle

9 Scopus citations

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 (US)
Pages (from-to)453-480
Number of pages28
JournalJournal of Group Theory
Volume5
Issue number4
DOIs
StatePublished - Jan 1 2002

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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