{
  "id": "math/0509170",
  "version": "v1",
  "published": "2005-09-07T22:32:03.000Z",
  "updated": "2005-09-07T22:32:03.000Z",
  "title": "The first $L^p$-cohomology of some finitely generated groups and $p$-harmonic functions",
  "authors": [
    "Michael J. Puls"
  ],
  "categories": [
    "math.FA",
    "math.GR"
  ],
  "abstract": "Let $G$ be a finitely generated infinite group and let $p > 1$. In this paper we make a connection between the first $L^p$-cohomology space of $G$ and $p$-harmonic functions on $G$. We also describe the elements in the first $L^p$-cohomology space of groups with polynomial growth, and we give an inclusion result for nonamenable groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-07T22:32:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "43A15"
    ],
    "keywords": [
      "harmonic functions",
      "finitely generated groups",
      "cohomology space",
      "inclusion result",
      "polynomial growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9170P"
    }
  }
}