Bousfield localizations of classifying spaces of nilpotent groups

Dwyer, William; Dror Farjoun, Emmanuel; Ravenel, Douglas

doi:10.1090/S0002-9939-99-05194-1

Bousfield localizations of classifying spaces of nilpotent groups
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by William G. Dwyer, Emmanuel Dror Farjoun and Douglas C. Ravenel PDF

Proc. Amer. Math. Soc. 127 (1999), 1855-1861 Request permission

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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