{
  "id": "1708.02565",
  "version": "v1",
  "published": "2017-08-08T17:14:10.000Z",
  "updated": "2017-08-08T17:14:10.000Z",
  "title": "Dual Ore's theorem on distributive intervals of finite groups",
  "authors": [
    "Sebastien Palcoux"
  ],
  "comment": "8 pages. Self-contained and group-theoretic version of arXiv:1704.00745. It contains some preliminaries of arXiv:1604.06765, arXiv:1702.02124",
  "categories": [
    "math.GR",
    "math.CO",
    "math.RT"
  ],
  "abstract": "This paper gives a self-contained group-theoretic proof of a dual version of a theorem of Ore on distributive intervals of finite groups. We deduce a bridge between combinatorics and representations in finite groups theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-08T17:14:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D60",
      "05E15",
      "20C15",
      "06C15"
    ],
    "keywords": [
      "dual ores theorem",
      "distributive intervals",
      "finite groups theory",
      "self-contained group-theoretic proof",
      "dual version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}