{
  "id": "1503.01385",
  "version": "v1",
  "published": "2015-03-04T16:58:25.000Z",
  "updated": "2015-03-04T16:58:25.000Z",
  "title": "Every compact group can have a non-measurable subgroup",
  "authors": [
    "W. R. Brian",
    "M. W. Mislove"
  ],
  "comment": "5 pages",
  "categories": [
    "math.GR",
    "math.GN"
  ],
  "abstract": "We show that it is consistent with ZFC that every compact group has a non-Haar-measurable subgroup. In addition, we demonstrate a natural construction, and we conjecture that this construction always produces a non-measurable subgroup of a given compact group. We prove that this is so in the Abelian case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-04T16:58:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact group",
      "non-measurable subgroup",
      "natural construction",
      "abelian case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}