{
  "id": "1208.0196",
  "version": "v1",
  "published": "2012-08-01T12:53:01.000Z",
  "updated": "2012-08-01T12:53:01.000Z",
  "title": "Some model theory of SL(2,R)",
  "authors": [
    "Jakub Gismatullin",
    "Davide Penazzi",
    "Anand Pillay"
  ],
  "comment": "10 pages",
  "categories": [
    "math.LO",
    "math.DS",
    "math.GN",
    "math.GR"
  ],
  "abstract": "We study the action of G = SL(2,R) on its type space S_G(R) where R denotes the field of real numbers. We identify a minimal closed G-flow I, and an idempotent r of I (with the respect to the Ellis semigroup structure * on I). We show that the group (r*I,*) has 2 elements, yielding a negative answer to a question of Newelski.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-08-01T12:53:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "22E46",
      "37B05"
    ],
    "keywords": [
      "model theory",
      "ellis semigroup structure",
      "type space",
      "real numbers",
      "minimal closed g-flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.0196G"
    }
  }
}