{
  "id": "1509.06593",
  "version": "v1",
  "published": "2015-09-22T13:32:25.000Z",
  "updated": "2015-09-22T13:32:25.000Z",
  "title": "The essentially chief series of a compactly generated locally compact group",
  "authors": [
    "Colin D. Reid",
    "Phillip R. Wesolek"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We first obtain finiteness properties for the collection of closed normal subgroups of a compactly generated locally compact group. Via these properties, every compactly generated locally compact group admits an essentially chief series - i.e. a finite normal series in which each factor is compact, discrete, or a topological chief factor. Additionally, a Jordan-H\\\"older theorem holds for the `large' factors in an essentially chief series.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-22T13:32:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compactly generated locally compact group",
      "essentially chief series",
      "generated locally compact group admits",
      "finite normal series",
      "closed normal subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906593R"
    }
  }
}