Bousfield localizations of classifying spaces of nilpotent groups

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 $h_0$.