{
  "id": "1209.3251",
  "version": "v3",
  "published": "2012-09-14T16:27:04.000Z",
  "updated": "2013-03-22T12:19:23.000Z",
  "title": "On the space of left-orderings of virtually solvable groups",
  "authors": [
    "Cristóbal Rivas",
    "Romain Tessera"
  ],
  "comment": "17 pages",
  "categories": [
    "math.GR",
    "math.DS"
  ],
  "abstract": "We show that the space of left-orderings of a countable virtually solvable group is either finite or homeomorphic to a Cantor set. We also provide an explicit description of the space of left-orderings of $SOL=\\Z^2\\rtimes_T\\Z$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-03-22T12:19:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "06F15",
      "20F60"
    ],
    "keywords": [
      "left-orderings",
      "cantor set",
      "explicit description",
      "countable virtually solvable group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.3251R"
    }
  }
}