{
  "id": "1412.3309",
  "version": "v1",
  "published": "2014-12-10T14:03:29.000Z",
  "updated": "2014-12-10T14:03:29.000Z",
  "title": "On the Peterson hit problem",
  "authors": [
    "Nguyen Sum"
  ],
  "comment": "68 pages, Quy Nhon University preprint, Viet Nam, 2011",
  "categories": [
    "math.AT"
  ],
  "abstract": "We study the hit problem, set up by F. Peterson, of finding a minimal set of generators for the polynomial algebra $P_k := \\mathbb F_2[x_1,x_2,...,x_k]$ as a module over the mod-2 Steenrod algebra, $\\mathcal{A}$. In this paper, we study a minimal set of generators for $\\mathcal A$-module $P_k$ in some so-call generic degrees and apply these results to explicitly determine the hit problem for $k=4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-10T14:03:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S10",
      "55S05",
      "55T15"
    ],
    "keywords": [
      "peterson hit problem",
      "minimal set",
      "so-call generic degrees",
      "generators",
      "polynomial algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 68,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.3309S"
    }
  }
}