{
  "id": "1406.5908",
  "version": "v2",
  "published": "2014-06-23T14:02:18.000Z",
  "updated": "2014-06-25T15:47:26.000Z",
  "title": "Distortion of imbeddings of groups of intermediate growth into metric spaces",
  "authors": [
    "Laurent Bartholdi",
    "Anna G. Erschler"
  ],
  "comment": "Used to appear as first half of arXiv:1403.5584",
  "categories": [
    "math.GR"
  ],
  "abstract": "For every metric space $\\mathcal X$ in which there exists a sequence of finite groups of bounded-size generating set that does not embed coarsely, and for every unbounded, increasing function $\\rho$, we produce a group of subexponential word growth all of whose imbeddings in $\\mathcal X$ have distortion worse than $\\rho$. This applies in particular to any B-convex Banach space $\\mathcal X$, such as Hilbert space.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-25T15:47:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "metric space",
      "intermediate growth",
      "imbeddings",
      "b-convex banach space",
      "subexponential word growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5908B"
    }
  }
}