{
  "id": "math/0504441",
  "version": "v1",
  "published": "2005-04-21T20:59:21.000Z",
  "updated": "2005-04-21T20:59:21.000Z",
  "title": "Finitely generated subgroups of lattices in PSL(2,C)",
  "authors": [
    "Yair Glasner",
    "Juan Souto",
    "Peter Storm"
  ],
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "Let G be a lattice in PSL(2,C). The pro-normal topology on G is defined by taking all cosets of non-trivial normal subgroups as a basis. This topology is finer than the pro-finite topology, but it is not discrete. We prove that every finitely generated subgroup H<G is closed in the pro-normal topology. As a corollary we deduce that if M is a maximal subgroup of a lattice in PSL(2,C) then either M is finite index or M is not finitely generated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-04-21T20:59:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finitely generated subgroup",
      "pro-normal topology",
      "non-trivial normal subgroups",
      "pro-finite topology",
      "maximal subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4441G"
    }
  }
}