Abstract
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 language | English |
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Pages (from-to) | 385-440 |
Number of pages | 56 |
Journal | Geometry and Topology |
Volume | 21 |
Issue number | 1 |
DOIs | |
State | Published - Feb 10 2017 |
Bibliographical note
Publisher Copyright:© 2017, Mathematical Sciences Publishers. All rights reserved.
Keywords
- Generalized character theory
- Morava E-theory
- Power operations
ASJC Scopus subject areas
- Geometry and Topology