{
  "id": "math/0509171",
  "version": "v2",
  "published": "2005-09-07T23:00:07.000Z",
  "updated": "2006-12-30T00:35:38.000Z",
  "title": "The first $L^p$-cohomology of some groups with one end",
  "authors": [
    "Michael J. Puls"
  ],
  "categories": [
    "math.FA",
    "math.GR"
  ],
  "abstract": "Let $p$ be a real number greater than one. In this paper we study the vanishing and nonvanishing of the first $L^p$-cohomology space of some groups that have one end. We also make a connection between the first $L^p$-cohomology space and the Floyd boundary of the Cayley graph of a group. We apply the result about Floyd boundaries to show that there exists a real number $p$ such that the first $L^p$-cohomology space of a nonelementary hyperbolic group does not vanish.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-30T00:35:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A15"
    ],
    "keywords": [
      "cohomology space",
      "floyd boundary",
      "real number greater",
      "nonelementary hyperbolic group",
      "cayley graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9171P"
    }
  }
}