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The chromatic filtration of the Burnside category

Published online by Cambridge University Press:  01 October 2012

MARKUS SZYMIK
MARKUS SZYMIK*
Affiliation:
Mathematisches Institut, Heinrich-Heine-Universität, 40225 Düsseldorf, Germany. e-mail: szymik@math.uni-duesseldorf.de
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Abstract

The Segal map connects the Burnside category of finite groups to the stable homotopy category of their classifying spaces. The chromatic filtrations on the latter can be used to define filtrations on the former. We prove a related conjecture of Ravenel's in some cases, and present counterexamples to the general statement.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 2 , March 2013 , pp. 287 - 302
Copyright
Copyright © Cambridge Philosophical Society 2012

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