{
  "id": "1012.2801",
  "version": "v2",
  "published": "2010-12-13T17:07:36.000Z",
  "updated": "2011-03-14T11:17:52.000Z",
  "title": "Subgroup separability in integral group rings",
  "authors": [
    "Á. del Río",
    "M. Ruiz Marín",
    "P. Zalesski"
  ],
  "comment": "9 pages",
  "categories": [
    "math.GR",
    "math.RA"
  ],
  "abstract": "We give a list of finite groups containing all finite groups $G$ such that the group of units $\\Z G^*$ of the integral group ring $\\Z G$ is subgroup separable. There are only two types of these groups $G$ for which we cannot decide wether $ZG^*$ is subgroup separable, namely the central product $Q_8 Y D_8$ and $Q_8\\times C_p{with} p \\text{prime and} p\\equiv -1 \\mod (8)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-03-14T11:17:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S34",
      "20C05",
      "16U60"
    ],
    "keywords": [
      "integral group ring",
      "subgroup separability",
      "subgroup separable",
      "central product",
      "decide wether"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2801D"
    }
  }
}