Permutation complexes for profinite groups

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    An important tool in the analysis of discrete groups of finite virtual cohomological dimension is the existence of a finite dimensional contractible CW-complex on which the group acts with finite stabilizers. We develop a purely algebraic analogue for profinite groups. This enables us to reveal the connection between finiteness conditions on the cohomology of the group and those on the normalizers of the finite p-subgroups. © Swiss Mathematical Society.
    Original languageEnglish
    Pages (from-to)1-37
    Number of pages36
    JournalCommentarii Mathematici Helvetici
    Issue number1
    Publication statusPublished - 2007


    • Cohomology
    • Permutation module
    • Profinite group


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