{
  "id": "0809.4734",
  "version": "v1",
  "published": "2008-09-27T03:03:33.000Z",
  "updated": "2008-09-27T03:03:33.000Z",
  "title": "Counting the Closed Subgroups of Profinite Groups",
  "authors": [
    "Paul Gartside",
    "Michael Smith"
  ],
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "The sets of closed and closed-normal subgroups of a profinite group carry a natural profinite topology. Through a combination of algebraic and topological methods the size of these subgroup spaces is calculated, and the spaces partially classified up to homeomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-27T03:03:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H05",
      "03E15",
      "28A05"
    ],
    "keywords": [
      "closed subgroups",
      "profinite group carry",
      "natural profinite topology",
      "closed-normal subgroups",
      "subgroup spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4734G"
    }
  }
}