{
  "id": "math/0209014",
  "version": "v2",
  "published": "2002-09-02T13:55:18.000Z",
  "updated": "2003-03-19T17:41:40.000Z",
  "title": "A refinement of the simple connectivity at infinity of groups",
  "authors": [
    "Louis Funar",
    "Daniele Ettore Otera"
  ],
  "comment": "8p., revised version, Archiv Math. (to appear)",
  "journal": "Archiv Math. (Basel) 81(2003), 360-368.",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "We give another proof for a result of Brick stating that the simple connectivity at infinity is a geometric property of finitely presented groups. This allows us to define the rate of vanishing of $\\p1i$ for those groups which are simply connected at infinity. Further we show that this rate is linear for cocompact lattices in nilpotent and semi-simple Lie groups, and in particular for fundamental groups of geometric 3-manifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-19T17:41:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple connectivity",
      "refinement",
      "semi-simple lie groups",
      "fundamental groups",
      "geometric property"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9014F"
    }
  }
}