{
  "id": "math/0408393",
  "version": "v1",
  "published": "2004-08-28T15:20:40.000Z",
  "updated": "2004-08-28T15:20:40.000Z",
  "title": "On the conjugacy separability in the class of finite $p$-groups of finitely generated nilpotent groups",
  "authors": [
    "E. A. Ivanova"
  ],
  "comment": "4 pages, no figures, AMSTex",
  "categories": [
    "math.GR"
  ],
  "abstract": "It is proved that for any prime $p$ a finitely generated nilpotent group is conjugacy separable in the class of finite $p$-groups if and only if the torsion subgroup of it is a finite $p$-group and the quotient group by the torsion subgroup is abelian.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-08-28T15:20:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finitely generated nilpotent group",
      "conjugacy separability",
      "torsion subgroup",
      "quotient group"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......8393I"
    }
  }
}