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Brown–Peterson cohomology from Morava -theory

Barthel, Tobias and Stapleton, Nathaniel (2017) Brown–Peterson cohomology from Morava -theory. Compositio Mathematica 153 (04), pp. 780-819.

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Other URL: http://doi.org/10.1112/S0010437X16008241


Abstract

We prove that the p-completed Brown Peterson spectrum is a retract of a product of Morava E-theory spectra. As a consequence, we generalize results of Kashiwabara and of Ravenel, Wilson and Yagita from spaces to spectra and deduce that the notion of a good group is determined by Brown Peterson cohomology. Furthermore, we show that rational factorizations of the Morava E-theory of certain finite ...

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Item type:Article
Date:2017
Institutions:Mathematics
Identification Number:
ValueType
10.1112/S0010437X16008241DOI
Keywords:POWER OPERATIONS; K-THEORIES; SPECTRA; SPACES; LOCALIZATION; CENTRALIZERS; SUBGROUPS; HOMOLOGY; BORDISM; Brown-Peterson spectrum; Morava E-theory; transchromatic character theory
Dewey Decimal Classification:500 Science > 510 Mathematics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39153
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