{
  "id": "0810.0186",
  "version": "v1",
  "published": "2008-10-01T14:57:02.000Z",
  "updated": "2008-10-01T14:57:02.000Z",
  "title": "Finite groups of units and their composition factors in the integral group rings of the groups $\\text{PSL}(2,q)$",
  "authors": [
    "Martin Hertweck",
    "Christian R. Höfert",
    "Wolfgang Kimmerle"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "Let $G$ denote the projective special linear group $\\text{PSL}(2,q)$, for a prime power $q$. It is shown that a finite 2-subgroup of the group $V(\\mathbb{Z}G)$ of augmentation 1 units in the integral group ring $\\mathbb{Z}G$ of $G$ is isomorphic to a subgroup of $G$. Furthermore, it is shown that a composition factor of a finite subgroup of $V(\\mathbb{Z}G)$ is isomorphic to a subgroup of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-01T14:57:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S34",
      "16U60",
      "20C05"
    ],
    "keywords": [
      "integral group ring",
      "composition factor",
      "finite groups",
      "projective special linear group",
      "isomorphic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.0186H"
    }
  }
}