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Brown–Peterson cohomology from Morava -theory

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Barthel, Tobias ; Stapleton, Nathaniel
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Date of publication of this fulltext: 20 Mar 2019 12:59


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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