{
  "id": "math/0504207",
  "version": "v2",
  "published": "2005-04-11T00:27:25.000Z",
  "updated": "2008-01-08T23:30:50.000Z",
  "title": "Quasi-isometries of rank one S-arithmetic lattices",
  "authors": [
    "Kevin Wortman"
  ],
  "comment": "21 pages",
  "categories": [
    "math.GR",
    "math.GT"
  ],
  "abstract": "We complete the quasi-isometric classification of irreducible lattices in semisimple Lie groups over nondiscrete locally compact fields of characteristic zero by showing that any quasi-isometry of a rank one S-arithmetic lattice in a semisimple Lie group over nondiscrete locally compact fields of characteristic zero is a finite distance in the sup-norm from a commensurator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-01-08T23:30:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20G30",
      "22E40"
    ],
    "keywords": [
      "s-arithmetic lattice",
      "nondiscrete locally compact fields",
      "semisimple lie group",
      "quasi-isometry",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......4207W"
    }
  }
}