{
  "id": "2002.09197",
  "version": "v1",
  "published": "2020-02-21T09:41:56.000Z",
  "updated": "2020-02-21T09:41:56.000Z",
  "title": "On the structure of groups with polynomial growth III",
  "authors": [
    "Viktor Losert"
  ],
  "categories": [
    "math.GR",
    "math.AG",
    "math.DG",
    "math.RT"
  ],
  "abstract": "We show that a compactly generated locally compact group of polynomial growth having no non-trivial compact normal subgroups can be embedded as a co-compact subgroup into a semidirect product of a connected, simply connected, nilpotent Lie group and a compact group. There is also a uniqueness statement for this extension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-21T09:41:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05",
      "22E25",
      "22E30",
      "20F19",
      "20G20"
    ],
    "keywords": [
      "polynomial growth",
      "non-trivial compact normal subgroups",
      "nilpotent lie group",
      "semidirect product",
      "compactly generated locally compact group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}