{
  "id": "0809.4735",
  "version": "v1",
  "published": "2008-09-27T03:07:31.000Z",
  "updated": "2008-09-27T03:07:31.000Z",
  "title": "Classifying Spaces of Subgroups of Profinite Groups",
  "authors": [
    "Paul Gartside",
    "Michael Smith"
  ],
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "The set of all closed subgroups of a profinite carries a natural profinite topology. This space of subgroups can be classified up to homeomorphism in many cases, and tight bounds placed on its complexity as expressed by its scattered height.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-27T03:07:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54H05",
      "03E15",
      "28A05"
    ],
    "keywords": [
      "profinite groups",
      "classifying spaces",
      "natural profinite topology",
      "profinite carries",
      "closed subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4735G"
    }
  }
}