{
  "id": "1001.5222",
  "version": "v2",
  "published": "2010-01-28T17:21:20.000Z",
  "updated": "2016-04-18T20:50:39.000Z",
  "title": "Subroups of $PSL(3,\\Bbb{C})$ with four lines in general position in its Limit Set",
  "authors": [
    "Waldemar Barrera",
    "Angel Cano",
    "Juan Pablo Navarrete"
  ],
  "categories": [
    "math.DS",
    "math.CV"
  ],
  "abstract": "In this article we provide an algebraic characterization of those groups of $PSL(3,\\Bbb{C})$ whose limit set in the Kulkarni sense has, exactly, four lines in general position. Also we show that, for this class of groups, the equicontinuity set of the group is the largest open set where the group acts discontinuously and agrees with the discontinuity set of the group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-28T17:21:20.000Z",
      "title": "Two dimensional Complex Kleinian Groups With Four Complex Lines in General Position in its Limit Set",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2016-04-18T20:50:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32Q45"
    ],
    "keywords": [
      "dimensional complex kleinian groups",
      "limit set",
      "general position",
      "complex lines",
      "largest open set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.5222B"
    }
  }
}