{
  "id": "1602.04417",
  "version": "v1",
  "published": "2016-02-14T05:13:42.000Z",
  "updated": "2016-02-14T05:13:42.000Z",
  "title": "The scale function and lattices",
  "authors": [
    "George A. Willis"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "It is shown that, given a lattice H in a totally disconnected, locally compact group G, the contraction subgroups in G and the values of the scale function on G are determined by their restrictions to H. Group theoretic properties intrinsic to the lattice, such as being periodic or infinitely divisible, are then seen to imply corresponding properties of G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-14T05:13:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05"
    ],
    "keywords": [
      "scale function",
      "group theoretic properties intrinsic",
      "locally compact group",
      "contraction subgroups",
      "imply corresponding properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160204417W"
    }
  }
}