{
  "id": "1212.2855",
  "version": "v2",
  "published": "2012-12-12T16:02:52.000Z",
  "updated": "2013-10-10T11:18:18.000Z",
  "title": "Graev ultrametrics and free products of Polish groups",
  "authors": [
    "Konstantin Slutsky"
  ],
  "comment": "19 pages, 12 figures",
  "categories": [
    "math.GR",
    "math.LO"
  ],
  "abstract": "We construct Graev ultrametrics on free products of groups with two-sided invariant ultrametrics and HNN extensions of such groups. We also introduce a notion of a free product of general Polish groups and prove, in particular, that two Polish groups G and H can be embedded into a Polish group T in such a way that the subgroup of T generated by G and H is isomorphic to the free product G*H.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-10T11:18:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E06",
      "54H11",
      "54H05",
      "03E15"
    ],
    "keywords": [
      "free product",
      "construct graev ultrametrics",
      "hnn extensions",
      "two-sided invariant ultrametrics",
      "general polish groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.2855S"
    }
  }
}