Multiplicative Structures on Brown–Peterson Spectra at Odd Primes
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.
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Published: |
Massachusetts Institute of Technology
2022
|
| Online Access: | https://hdl.handle.net/1721.1/139382 |
| _version_ | 1811069359302377472 |
|---|---|
| author | Senger, Andrew |
| author2 | Miller, Haynes |
| author_facet | Miller, Haynes Senger, Andrew |
| author_sort | Senger, Andrew |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T08:09:45Z |
| format | Thesis |
| id | mit-1721.1/139382 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T08:09:45Z |
| publishDate | 2022 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1393822022-01-15T04:09:02Z Multiplicative Structures on Brown–Peterson Spectra at Odd Primes Senger, Andrew Miller, Haynes Massachusetts Institute of Technology. Department of Mathematics 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. Ph.D. 2022-01-14T15:08:13Z 2022-01-14T15:08:13Z 2021-06 2021-05-25T12:47:39.554Z Thesis https://hdl.handle.net/1721.1/139382 In Copyright - Educational Use Permitted Copyright MIT http://rightsstatements.org/page/InC-EDU/1.0/ application/pdf Massachusetts Institute of Technology |
| spellingShingle | Senger, Andrew Multiplicative Structures on Brown–Peterson Spectra at Odd Primes |
| title | Multiplicative Structures on Brown–Peterson Spectra at Odd Primes |
| title_full | Multiplicative Structures on Brown–Peterson Spectra at Odd Primes |
| title_fullStr | Multiplicative Structures on Brown–Peterson Spectra at Odd Primes |
| title_full_unstemmed | Multiplicative Structures on Brown–Peterson Spectra at Odd Primes |
| title_short | Multiplicative Structures on Brown–Peterson Spectra at Odd Primes |
| title_sort | multiplicative structures on brown peterson spectra at odd primes |
| url | https://hdl.handle.net/1721.1/139382 |
| work_keys_str_mv | AT sengerandrew multiplicativestructuresonbrownpetersonspectraatoddprimes |