{
  "id": "1312.1064",
  "version": "v1",
  "published": "2013-12-04T09:03:21.000Z",
  "updated": "2013-12-04T09:03:21.000Z",
  "title": "Scale-multiplicative semigroups and geometry: automorphism groups of trees",
  "authors": [
    "Udo Baumgartner",
    "Jacqui Ramagge",
    "George A. Willis"
  ],
  "comment": "submitted to Groups, Geometry, and Dynamics",
  "categories": [
    "math.GR"
  ],
  "abstract": "A scale-multiplicative semigroup in a totally disconnected, locally compact group $G$ is one for which the restriction of the scale function on $G$ is multiplicative. The maximal scale-multiplicative semigroups in groups acting 2-transitively on the set of ends of trees without leaves are determined in this paper and shown to correspond to geometric features of the tree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-04T09:03:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05",
      "20E08",
      "22D45",
      "22F50"
    ],
    "keywords": [
      "automorphism groups",
      "scale function",
      "locally compact group",
      "maximal scale-multiplicative semigroups",
      "geometric features"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.1064B"
    }
  }
}