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Bousfield localizations of classifying spaces of nilpotent groups
Authors:William G Dwyer  Emmanuel Dror Farjoun  Douglas C Ravenel
Institution:Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556 ; Department of Mathematics, Hebrew University, Jerusalem, Israel ; Department of Mathematics, University of Rochester, Rochester, New York 14627
Abstract:Let $G$ be a finitely generated nilpotent group. The object of this paper is to identify the Bousfield localization $L_hBG$ of the classifying space $BG$ with respect to a multiplicative complex oriented homology theory $h_{*}$. We show that $L_hBG$ is the same as the localization of $BG$ with respect to the ordinary homology theory determined by the ring $h_0$.

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