{
  "id": "1510.07209",
  "version": "v1",
  "published": "2015-10-25T06:05:26.000Z",
  "updated": "2015-10-25T06:05:26.000Z",
  "title": "Strong Configuration Equivalence and Isomorphism",
  "authors": [
    "Ali Rejali",
    "Meisam Soleimani Malekan"
  ],
  "comment": "14 pages",
  "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 $G$ and $H$ are two configuration equivalent groups, then they satisfy in same group laws. Also, solubility, being FC are properties can be translated by configuration. At end, we introduce a somewhat different notion of configuration equivalence, namely strongly configuration equivalence, and prove this new definition leads to isomorphism.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-10-25T06:05:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F05",
      "20F16",
      "20F24",
      "43A07",
      "J.2"
    ],
    "keywords": [
      "strong configuration equivalence",
      "isomorphism",
      "configuration equivalent groups",
      "strongly configuration equivalence",
      "group laws"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151007209R"
    }
  }
}