{
  "id": "1412.1709",
  "version": "v1",
  "published": "2014-12-04T16:00:22.000Z",
  "updated": "2014-12-04T16:00:22.000Z",
  "title": "The hit problem for the polynomial algebra of four variables",
  "authors": [
    "Nguyen Sum"
  ],
  "comment": "240 pages",
  "categories": [
    "math.AT"
  ],
  "abstract": "We study the problem of determining a minimal set of generators for the polynomial algebra $\\mathbb F_2[x_1,x_2,\\ldots,x_k]$ as a module over the mod-2 Steenrod algebra $\\mathcal{A}$. In this paper, we give an explicit answer in terms of the monomials for $k=4$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-04T16:00:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55S10",
      "55S05",
      "55T15"
    ],
    "keywords": [
      "polynomial algebra",
      "hit problem",
      "minimal set",
      "steenrod algebra",
      "explicit answer"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 240,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1412.1709S"
    }
  }
}