Brown–Peterson cohomology from Morava -theory

URN to cite this document:: urn:nbn:de:bvb:355-epub-391536
DOI to cite this document:: 10.5283/epub.39153

Barthel, Tobias ; Stapleton, Nathaniel

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Date of publication of this fulltext: 20 Mar 2019 12:59

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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 ...