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 | ||||
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| Date: | 2017 | ||||
| Institutions: | Mathematics | ||||
| Identification Number: |
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| 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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