Transfer ideals and torsion in the Morava E-theory of abelian groups

Tobias Barthel, Nathaniel Stapleton

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Let A be a finite abelian p-group of rank at least 2. We show that E(BA) / Itr, the quotient of the Morava E-cohomology of A by the ideal generated by the image of the transfers along all proper subgroups, contains p-torsion. The proof makes use of transchromatic character theory.

Original languageEnglish
Pages (from-to)369-375
Number of pages7
JournalJournal of Homotopy and Related Structures
Issue number2
StatePublished - Jun 1 2020

Bibliographical note

Publisher Copyright:
© 2020, Tbilisi Centre for Mathematical Sciences.


  • Level structures
  • Morava E-theory
  • Transchromatic character theory

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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