{
  "id": "math/0503163",
  "version": "v2",
  "published": "2005-03-08T20:29:35.000Z",
  "updated": "2009-04-12T13:40:31.000Z",
  "title": "The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle",
  "authors": [
    "Juan Souto"
  ],
  "comment": "This is the version published by Geometry & Topology Monographs on 29 April 2008",
  "journal": "Geom. Topol. Monogr. 14 (2008) 505-518",
  "doi": "10.2140/gtm.2008.14.505",
  "categories": [
    "math.GT"
  ],
  "abstract": "We determine the rank of the fundamental group of those hyperbolic 3-manifolds fibering over the circle whose monodromy is a sufficiently high power of a pseudo-Anosov map. Moreover, we show that any two generating sets with minimal cardinality are Nielsen equivalent.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-12T13:40:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57M07"
    ],
    "keywords": [
      "fundamental group",
      "hyperbolic",
      "nielsen equivalent",
      "minimal cardinality",
      "pseudo-anosov map"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}