Brown-Peterson cohomology from Morava E-theory

Tobias Barthel, Nathaniel Stapleton, Jeremy Hahn

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


We prove that the -completed Brown-Peterson spectrum is a retract of a product of Morava -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 -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.

Original languageEnglish
Pages (from-to)780-819
Number of pages40
JournalCompositio Mathematica
Issue number4
StatePublished - Apr 1 2017

Bibliographical note

Publisher Copyright:
© 2017 The Authors.


  • Brown-Peterson spectrum
  • Morava E-theory
  • transchromatic character theory

ASJC Scopus subject areas

  • Algebra and Number Theory


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