{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/139382"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/139382","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Multiplicative Structures on Brown–Peterson Spectra at Odd Primes","abstract":"We show that the odd-primary Brown-Peterson spectrum does not admit the structure of an E₂₍ₚ^₂ ₊₂₎ ring spectrum and that there can be no map MU → BP of E₂ₚ₊₃ ring spectra for odd primes p. This extends results of Lawson at the prime 2.","abstract_html":"We show that the odd-primary Brown-Peterson spectrum does not admit the structure of an E₂₍ₚ^₂ ₊₂₎ ring spectrum and that there can be no map MU → BP of E₂ₚ₊₃ ring spectra for odd primes p. This extends results of Lawson at the prime 2.","abstract_has_math":false,"creators":["Senger, Andrew"],"institution":"Massachusetts Institute of Technology","degree_name":"Doctoral","degree_level":null,"degree_discipline":null,"degree_department":"Massachusetts Institute of Technology. Department of Mathematics","school":null,"contributors":[],"advisors":["Miller, Haynes"],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-06","date_published":"2021-06","updated_at":"2026-07-22T22:20:48Z","subjects":[],"languages":[],"rights":["In Copyright - Educational Use Permitted","Copyright MIT"],"rights_urls":["http://rightsstatements.org/page/InC-EDU/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/1721.1/139382","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Miller, Haynes"]},{"key":"dc:contributor.department","label":"Department","values":["Massachusetts Institute of Technology. Department of Mathematics"]},{"key":"dc:creator","label":"Author","values":["Senger, Andrew"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2022-01-14T15:08:13Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2022-01-14T15:08:13Z"]},{"key":"dc:date.issued","label":"Date","values":["2021-06"]},{"key":"dc:publisher","label":"Institution","values":["Massachusetts Institute of Technology"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctoral","Doctor of Philosophy"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["In Copyright - Educational Use Permitted","Copyright MIT"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/page/InC-EDU/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/1721.1/139382"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We show that the odd-primary Brown-Peterson spectrum does not admit the structure of an E₂₍ₚ^₂ ₊₂₎ ring spectrum and that there can be no map MU → BP of E₂ₚ₊₃ ring spectra for odd primes p. This extends results of Lawson at the prime 2."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["Ph.D."]},{"key":"dc:title","label":"Title","values":["Multiplicative Structures on Brown–Peterson Spectra at Odd Primes"]}]}],"canonical_facts":{"dc:contributor.advisor":["Miller, Haynes"],"dc:contributor.department":["Massachusetts Institute of Technology. Department of Mathematics"],"dc:creator":["Senger, Andrew"],"dc:date.accessioned":["2022-01-14T15:08:13Z"],"dc:date.available":["2022-01-14T15:08:13Z"],"dc:date.issued":["2021-06"],"dc:description.abstract":["We show that the odd-primary Brown-Peterson spectrum does not admit the structure of an E₂₍ₚ^₂ ₊₂₎ ring spectrum and that there can be no map MU → BP of E₂ₚ₊₃ ring spectra for odd primes p. This extends results of Lawson at the prime 2."],"dc:description.degree":["Ph.D."],"dc:identifier.uri":["https://hdl.handle.net/1721.1/139382"],"dc:publisher":["Massachusetts Institute of Technology"],"dc:rights":["In Copyright - Educational Use Permitted","Copyright MIT"],"dc:rights.uri":["http://rightsstatements.org/page/InC-EDU/1.0/"],"dc:title":["Multiplicative Structures on Brown–Peterson Spectra at Odd Primes"],"dc:type":["Thesis"],"thesis:degree_name":["Doctoral","Doctor of Philosophy"]},"updated_at":"2026-07-22T22:20:48Z"}