{
  "id": "1202.6234",
  "version": "v1",
  "published": "2012-02-28T14:18:53.000Z",
  "updated": "2012-02-28T14:18:53.000Z",
  "title": "A conjecture on B-groups",
  "authors": [
    "Serge Bouc"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this note, I propose the following conjecture: a finite group G is nilpotent if and only if its largest quotient B-group \\beta(G) is nilpotent. I give a proof of this conjecture under the additional assumption that G be solvable. I also show that this conjecture is equivalent to the following: the kernel of restrictions to nilpotent subgroups is a biset-subfunctor of the Burnside functor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-28T14:18:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conjecture",
      "largest quotient b-group",
      "finite group",
      "additional assumption",
      "nilpotent subgroups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.6234B"
    }
  }
}