Bousfield localizations of classifying spaces of nilpotent groups

William G. Outer*, Emmanuel Dror Farjoun, Douglas C. Ravenel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a finitely generated nilpotent group. The object of this paper is to identify the Bousfield localization LhBG of the classifying space BG with respect to a multiplicative complex oriented homology theory h*. We show that LhBG is the same as the localization of BG with respect to the ordinary homology theory determined by the ring h0.

Original languageEnglish
Pages (from-to)1855-1861
Number of pages7
JournalProceedings of the American Mathematical Society
Volume127
Issue number6
DOIs
StatePublished - 1999

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