{
  "id": "1503.06298",
  "version": "v1",
  "published": "2015-03-21T13:11:35.000Z",
  "updated": "2015-03-21T13:11:35.000Z",
  "title": "Group actions on spheres with rank one prime power isotropy",
  "authors": [
    "Ian Hambleton",
    "Ergun Yalcin"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "We show that a rank two finite group G admits a finite G-CW-complex X homotopy equivalent to a sphere, with rank one prime power isotropy, if and only if G does not p'-involve Qd(p) for any odd prime p. This follows from a more general theorem which allows us to construct a finite G-CW-complex by gluing together a given G-invariant family of representations defined on the Sylow subgroups of G.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-21T13:11:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S17",
      "55U15",
      "18Gxx"
    ],
    "keywords": [
      "prime power isotropy",
      "group actions",
      "finite g-cw-complex",
      "homotopy equivalent",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}