A small presentation for Morava E-theory power operations

Let E denote a Morava E-theory at a prime p and height h. We characterize the power operations on π0 of a K(h)-local E∞-E-algebra in terms of a small amount of algebraic data. This involves only the E-cohomology of two groups, namely the symmetric groups on p and p2 letters. Along the way, we also define and explore a notion of coquadratic comonad.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2016

Author dc:creator

• Nelson, Peter D.

Contributors dc:contributor

• Rezk, Charles
• McCarthy, Randy
• Ando, Matthew
• Malkiewich, Cary

• Power Operations
• Morava E-Theory

Statement dc:rights

• Copyright 2016 Peter Nelson

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/92811

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/92811