{
  "id": "1410.2583",
  "version": "v1",
  "published": "2014-10-09T19:24:19.000Z",
  "updated": "2014-10-09T19:24:19.000Z",
  "title": "A Fitting Theorem for Simple Theories",
  "authors": [
    "Daniel Palacin",
    "Frank Olaf Wagner"
  ],
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "The Fitting subgroup of a type-definable group in a simple theory is relatively definable and nilpotent. Moreover, the Fitting subgroup of a supersimple hyperdefinable group has a normal hyperdefinable nilpotent subgroup of bounded index, and is itself of bounded index in a hyperdefinable subgroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-09T19:24:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple theory",
      "fitting theorem",
      "fitting subgroup",
      "bounded index",
      "normal hyperdefinable nilpotent subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.2583P"
    }
  }
}