{
  "id": "1111.7256",
  "version": "v1",
  "published": "2011-11-30T18:03:03.000Z",
  "updated": "2011-11-30T18:03:03.000Z",
  "title": "Local Sylow theory of totally disconnected, locally compact groups",
  "authors": [
    "Colin D. Reid"
  ],
  "comment": "13 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We define a local Sylow subgroup of a totally disconnected, locally compact group G to be a maximal pro-p subgroup of an open compact subgroup of G. We use these subgroups to define the p-localisation of G, a locally virtually pro-p group which maps continuously and injectively to G with dense image, and describe the relationship between the scale and modular functions of G and those of its p-localisation. In the case of locally virtually prosoluble groups, we consider all primes simultaneously using local Sylow bases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-30T18:03:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22D05"
    ],
    "keywords": [
      "locally compact group",
      "local sylow theory",
      "open compact subgroup",
      "local sylow bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.7256R"
    }
  }
}