{
  "id": "1801.00267",
  "version": "v1",
  "published": "2017-12-31T10:43:10.000Z",
  "updated": "2017-12-31T10:43:10.000Z",
  "title": "On hereditarily just infinite profinite groups with complete Hausdorff dimension spectrum",
  "authors": [
    "Yiftach Barnea",
    "Matteo Vannacci"
  ],
  "comment": "8 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that the inverse limit of certain iterated wreath products in product action have complete Hausdorff dimension spectrum with respect to their unique maximal filtration of open normal subgroups. Moreover we can produce explicitly subgroups with a specified Hausdorff dimension.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-31T10:43:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E18",
      "20E22"
    ],
    "keywords": [
      "complete hausdorff dimension spectrum",
      "infinite profinite groups",
      "unique maximal filtration",
      "open normal subgroups",
      "hereditarily"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}