{
  "id": "0811.2291",
  "version": "v1",
  "published": "2008-11-14T09:09:43.000Z",
  "updated": "2008-11-14T09:09:43.000Z",
  "title": "Configuration of nilpotent groups and isomorphism",
  "authors": [
    "A. Abdollahi",
    "A. Rejali",
    "A. Yousofzadeh"
  ],
  "comment": "to appear in Journal of Algebra and its Applications",
  "categories": [
    "math.GR"
  ],
  "abstract": "The concept of configuration was first introduced by Rosenblatt and Willis to give a condition for amenability of groups. We show that if $G_1$ and $G_2$ have the same configuration sets and $H_1$ is a normal subgroup of $G_1$ with abelian quotient, then there is a normal subgroup $H_2$ of $G_2$ such that $\\frac{G_1}{H_1}\\cong\\frac{G_2}{H_2}.$ Also configuration of FC-groups and isomorphism is studied.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-14T09:09:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F99"
    ],
    "keywords": [
      "nilpotent groups",
      "isomorphism",
      "normal subgroup",
      "configuration sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2291A"
    }
  }
}