{
  "id": "1409.1289",
  "version": "v1",
  "published": "2014-09-04T00:18:59.000Z",
  "updated": "2014-09-04T00:18:59.000Z",
  "title": "Random groups are not left-orderable",
  "authors": [
    "Damian Orlef"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that random groups in Gromov density model at any density $d$ are with overwhelming probability either non-left-orderable or trivial. It implies the lack of left-orderability for $d<\\frac{1}{2}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-04T00:18:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F60",
      "20F65"
    ],
    "keywords": [
      "random groups",
      "gromov density model",
      "left-orderable",
      "overwhelming probability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1289O"
    }
  }
}