{
  "id": "2104.11915",
  "version": "v1",
  "published": "2021-04-24T09:06:11.000Z",
  "updated": "2021-04-24T09:06:11.000Z",
  "title": "On the structure of groups with polynomial growth IV",
  "authors": [
    "Viktor Losert"
  ],
  "categories": [
    "math.GR",
    "math.AG",
    "math.DG",
    "math.FA",
    "math.RT"
  ],
  "abstract": "Recently we have shown a structure theorem for locally compact groups of polynomial growth. We give now some applications on various growth functions and relations to FC-G - series. In addition, we show some results on related classes of groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-24T09:06:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "polynomial growth",
      "structure theorem",
      "growth functions",
      "locally compact groups",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}