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Massachusetts Institute of Technology

Multiplicative Structures on Brown–Peterson Spectra at Odd Primes

Abstract

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.

Degree

thesis:*
Name thesis:degree_name
Doctoral
Department dc:contributor.department
Massachusetts Institute of Technology. Department of Mathematics
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2021

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Senger, Andrew
Advisor dc:contributor.advisor
  • Miller, Haynes

Rights

dc:rights
Statement dc:rights
  • In Copyright - Educational Use Permitted
  • Copyright MIT

Identifiers

dc:identifier.*
Handle dc:identifier.uri
https://hdl.handle.net/1721.1/139382
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/139382

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Senger, Andrew. Multiplicative Structures on Brown–Peterson Spectra at Odd Primes. Massachusetts Institute of Technology, 2021. https://hdl.handle.net/1721.1/139382