{
  "id": "1508.07730",
  "version": "v1",
  "published": "2015-08-31T09:21:57.000Z",
  "updated": "2015-08-31T09:21:57.000Z",
  "title": "About the length of laws for finite groups",
  "authors": [
    "Andreas Thom"
  ],
  "comment": "8 pages, no figures",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove new upper bounds for the length of laws that hold for all groups of size at most $n$ -- improving on previous results of Bou-Rabee and Kassabov-Matucci. The methods make use of the classification of finite simple groups. Stronger bounds are proved in case the groups are assumed to be nilpotent or solvable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-31T09:21:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite groups",
      "finite simple groups",
      "upper bounds",
      "stronger bounds",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807730T"
    }
  }
}