{
  "id": "1412.7700",
  "version": "v1",
  "published": "2014-12-24T16:17:50.000Z",
  "updated": "2014-12-24T16:17:50.000Z",
  "title": "Torsion subgroups in the units of the integral group ring of $\\operatorname{PSL}(2,p^3)$",
  "authors": [
    "Andreas Bächle",
    "Leo Margolis"
  ],
  "comment": "7 pages",
  "categories": [
    "math.GR",
    "math.RA",
    "math.RT"
  ],
  "abstract": "We show that for every prime $r$ all $r$-subgroups in the normalized units of the integral group ring of $\\operatorname{PSL}(2,p^3)$ are isomorphic to subgroups of $\\operatorname{PSL}(2,p^3)$. This answers a question of M. Hertweck, C.R. H\\\"ofert and W. Kimmerle for this series of groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-24T16:17:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16U60",
      "20C05",
      "16S34"
    ],
    "keywords": [
      "integral group ring",
      "torsion subgroups",
      "normalized units",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}