{
  "id": "1009.2730",
  "version": "v1",
  "published": "2010-09-14T18:15:41.000Z",
  "updated": "2010-09-14T18:15:41.000Z",
  "title": "Distortion in Free Nilpotent Groups",
  "authors": [
    "Tara Davis"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We prove that a subgroup of a finitely generated free nilpotent group F is undistorted if and only if it is a retract of a subgroup of finite index in F.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-09-14T18:15:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F18",
      "20F05",
      "20F10"
    ],
    "keywords": [
      "distortion",
      "finitely generated free nilpotent group",
      "finite index"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1009.2730D"
    }
  }
}