{
  "id": "math/0607269",
  "version": "v1",
  "published": "2006-07-11T19:36:22.000Z",
  "updated": "2006-07-11T19:36:22.000Z",
  "title": "Counting $(1,β)$-BM relations and classifying $(2,2)$-BM groups",
  "authors": [
    "Diego Rattaggi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "In the first part, we prove that the number of $(1,\\beta)$-BM relations is $3 \\cdot 5 \\cdot \\ldots \\cdot (2\\beta + 1)$, which was conjectured by Kimberley. In the second part, we construct two isomorphisms between certain $(2,2)$-BM groups. This completes the classification of $(2,2)$-BM groups initiated by Kimberley and Robertson.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-11T19:36:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "bm relations",
      "classifying",
      "first part",
      "second part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7269R"
    }
  }
}