{
  "id": "1710.09822",
  "version": "v1",
  "published": "2017-10-26T17:37:31.000Z",
  "updated": "2017-10-26T17:37:31.000Z",
  "title": "The Brown-Peterson spectrum is not $E_{2(p^2+2)}$ at odd primes",
  "authors": [
    "Andrew Senger"
  ],
  "comment": "21 pages, comments welcome",
  "categories": [
    "math.AT"
  ],
  "abstract": "Recently, Lawson has shown that the 2-primary Brown-Peterson spectrum does not admit the structure of an $E_{12}$ ring spectrum, thus answering a question of May in the negative. We extend Lawson's result to odd primes by proving that the p-primary Brown-Peterson spectrum does not admit the structure of an $E_{2(p^2+2)}$ ring spectrum. We also show that there can be no map $MU \\to BP$ of $E_{2p+3}$ ring spectra at any prime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-10-26T17:37:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55P43"
    ],
    "keywords": [
      "odd primes",
      "ring spectrum",
      "extend lawsons result",
      "p-primary brown-peterson spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}