{
  "id": "1009.3160",
  "version": "v1",
  "published": "2010-09-16T12:41:49.000Z",
  "updated": "2010-09-16T12:41:49.000Z",
  "title": "A Jordan decomposition for groups of finite Morley rank",
  "authors": [
    "Tuna Altinel",
    "Jeffrey Burdges",
    "Oliver Frecon"
  ],
  "categories": [
    "math.LO",
    "math.GR"
  ],
  "abstract": "We prove a Jordan decomposition theorem for minimal connected simple groups of finite Morley rank with non-trivial Weyl group. From this, we deduce a precise structural description of Borel subgroups of this family of simple groups. Along the way we prove a Tetrachotomy theorem that classifies minimal connected simple groups. Some of the techniques that we develop help us obtain a simpler proof of a theorem of Burdges, Cherlin and Jaligot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-16T12:41:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C60",
      "20G99"
    ],
    "keywords": [
      "finite morley rank",
      "classifies minimal connected simple groups",
      "non-trivial weyl group",
      "jordan decomposition theorem",
      "precise structural description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.3160A"
    }
  }
}