Barthel, Tobias and Stapleton, Nathaniel and Hahn, Jeremy (2017) Brown-Peterson cohomology from Morava E-theory. COMPOSITIO MATHEMATICA, 153 (4). pp. 780-819. ISSN 0010-437X, 1570-5846
Full text not available from this repository. (Request a copy)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 groups hold integrally up to bounded torsion with height-independent exponent, thereby lifting these factorizations to the rationalized Brown Peterson cohomology of such groups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | POWER OPERATIONS; K-THEORIES; SPECTRA; SPACES; LOCALIZATION; CENTRALIZERS; SUBGROUPS; HOMOLOGY; BORDISM; Brown-Peterson spectrum; Morava E-theory; transchromatic character theory |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:11 |
| Last Modified: | 25 Feb 2019 18:42 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1155 |
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