{
  "id": "1606.00011",
  "version": "v1",
  "published": "2016-05-31T20:00:04.000Z",
  "updated": "2016-05-31T20:00:04.000Z",
  "title": "Frankl's Conjecture for subgroup lattices",
  "authors": [
    "Alireza Abdollahi",
    "Russ Woodroofe",
    "Gjergji Zaimi"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "We show that the subgroup lattice of any finite group satisfies Frankl's Union-Closed Conjecture. We show the same for all lattices with a modular coatom, a family which includes all supersolvable and dually semimodular lattices. A common technical result used to prove both may be of some independent interest.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-31T20:00:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05D05",
      "06C99",
      "20E15"
    ],
    "keywords": [
      "subgroup lattice",
      "frankls conjecture",
      "finite group satisfies frankls",
      "group satisfies frankls union-closed conjecture",
      "modular coatom"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}