{
  "id": "1611.02486",
  "version": "v1",
  "published": "2016-11-08T11:45:26.000Z",
  "updated": "2016-11-08T11:45:26.000Z",
  "title": "On a perfect isometry between principal $p$-blocks of finite groups with cyclic $p$-hyperfocal subgroups",
  "authors": [
    "Hiroshi Horimoto",
    "Atumi Watanabe"
  ],
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "Let $G$ be a finite group with a Sylow $p$-subgroup $P$. We prove that the principal $p$-blocks of $G$ and $N_G(P)$ are perfectly isometric under the assumption $G$ has a cyclic $p$-hyperfocal subgroup.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-08T11:45:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20"
    ],
    "keywords": [
      "finite group",
      "hyperfocal subgroup",
      "perfect isometry",
      "perfectly isometric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}