{
  "id": "math/0701498",
  "version": "v1",
  "published": "2007-01-18T09:45:20.000Z",
  "updated": "2007-01-18T09:45:20.000Z",
  "title": "On the Residuality a Finite Group of HNN-Extensions",
  "authors": [
    "D. I. Moldavanskii"
  ],
  "comment": "12 pages. This is a translation from Russian of the paper published in Vestnik of Ivanovo State University, 2000, issue 3, p. 129-140",
  "categories": [
    "math.GR"
  ],
  "abstract": "A criterion for the HNN-extension of a finite p-group to be residually a finite p-group is obtained and based on this criterion the sufficient condition for residuality a finite p-group of HNN-extension with arbitrary base group is proved. Then these results are applied to give for groups from two classes of one-relator groups the necessary and sufficient condition to be residually a finite p-group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-01-18T09:45:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E26",
      "20E06"
    ],
    "keywords": [
      "finite group",
      "finite p-group",
      "hnn-extension",
      "residuality",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......1498M"
    }
  }
}