{
  "id": "1610.07253",
  "version": "v1",
  "published": "2016-10-24T00:47:03.000Z",
  "updated": "2016-10-24T00:47:03.000Z",
  "title": "Dual Ore's theorem for distributive intervals of small index",
  "authors": [
    "Sebastien Palcoux"
  ],
  "comment": "15 pages; comments are welcome",
  "categories": [
    "math.GR",
    "math.CO",
    "math.RT"
  ],
  "abstract": "This paper proves a dual version of a theorem of Oystein Ore for every distributive interval of finite groups [H,G] of index |G:H|<9720, and for every boolean interval of rank <7. It has applications to representation theory for every finite group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-24T00:47:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20D60",
      "05E15",
      "20C15",
      "06C15"
    ],
    "keywords": [
      "dual ores theorem",
      "distributive interval",
      "small index",
      "finite group",
      "dual version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}