For a prime , let be a finitely generated free pro- -group of rank at least . We show that the second discrete homology group is an uncountable -vector space. This answers a problem of A. K. Bousfield.

Original languageEnglish
Pages (from-to)2195-2204
Number of pages10
JournalCompositio Mathematica
Volume154
Issue number10
DOIs
StatePublished - 1 Oct 2018

    Scopus subject areas

  • Algebra and Number Theory

    Research areas

  • completion, group homology, profinite group

ID: 46234043