The character of the total power operation

Tobias Barthel, Nathaniel Stapleton

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


We compute the total power operation for the Morava E-theory of any finite group up to torsion. Our formula is stated in terms of the GLn (ℚp)-action on the Drinfel’d ring of full level structures on the formal group associated to E-theory. It can be specialized to give explicit descriptions of many classical operations. Moreover, we show that the character map of Hopkins, Kuhn and Ravenel from E-theory to GLn(ℤp)-invariant generalized class functions is a natural transformation of global power functors on finite groups.

Original languageEnglish
Pages (from-to)385-440
Number of pages56
JournalGeometry and Topology
Issue number1
StatePublished - Feb 10 2017

Bibliographical note

Publisher Copyright:
© 2017, Mathematical Sciences Publishers. All rights reserved.


  • Generalized character theory
  • Morava E-theory
  • Power operations

ASJC Scopus subject areas

  • Geometry and Topology


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