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Bousfield localizations of classifying spaces
of nilpotent groups

Authors: William G. Dwyer, Emmanuel Dror Farjoun and Douglas C. Ravenel
Journal: Proc. Amer. Math. Soc. 127 (1999), 1855-1861
MSC (1991): Primary 55N20, 55R35
Published electronically: February 5, 1999
MathSciNet review: 1646308
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Abstract | References | Similar Articles | Additional Information

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 $h_0$.

References [Enhancements On Off] (What's this?)

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Additional Information

William G. Dwyer
Affiliation: Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556

Emmanuel Dror Farjoun
Affiliation: Department of Mathematics, Hebrew University, Jerusalem, Israel

Douglas C. Ravenel
Affiliation: Department of Mathematics, University of Rochester, Rochester, New York 14627

Received by editor(s): September 17, 1997
Published electronically: February 5, 1999
Additional Notes: All three authors were partially supported by the US-Israel Binational Science Foundation, and the first and third authors by the National Science Foundation.
Communicated by: Ralph Cohen
Article copyright: © Copyright 1999 American Mathematical Society

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