{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/92811"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/92811","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A small presentation for Morava E-theory power operations","abstract":"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.","abstract_html":"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. 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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). 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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). 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