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Rezk, Charles McCarthy, Randy Ando, Matthew Malkiewich, Cary Nelson, Peter D. 2016-11-10T17:54:56Z 2016-11-10T17:54:56Z 2016-07-13 2016-08 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. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2016-11-09 without embargo terms The student, Peter Nelson, accepted the attached license on 2016-07-12 at 17:11. The student, Peter Nelson, submitted this Dissertation for approval on 2016-07-12 at 17:12. This Dissertation was approved for publication on 2016-07-13 at 10:53. DSpace SAF Submission Ingestion Package generated from Vireo submission #9881 on 2016-11-09 at 10:24:10 Made available in DSpace on 2016-11-10T17:54:56Z (GMT). No. of bitstreams: 3 NELSON-DISSERTATION-2016.pdf: 398353 bytes, checksum: 829f058bce80959773318ba378a3b36a (MD5) LICENSE.txt: 4209 bytes, checksum: 36697a6d2ea7ddcdf51ffd45ae6e5ad2 (MD5) PROQUEST_LICENSE.txt: 4555 bytes, checksum: 65efd3032b9409cb85ecce96049904d5 (MD5) Previous issue date: 2016-07-13 application/pdf http://hdl.handle.net/2142/92811 en Copyright 2016 Peter Nelson Power Operations Morava E-Theory A small presentation for Morava E-theory power operations text text Mathematics Mathematics University of Illinois at Urbana-Champaign Dissertation Ph.D.