{
  "id": "1701.04441",
  "version": "v1",
  "published": "2017-01-16T19:57:54.000Z",
  "updated": "2017-01-16T19:57:54.000Z",
  "title": "A Magnus theorem for some amalgamated products",
  "authors": [
    "Carsten Feldkamp"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "A group $G$ possesses the Magnus property if for every two elements $u,v \\in G$ with the same normal closure, $u$ is conjugate in $G$ to $v$ or $v^{-1}$. We prove the Magnus property for some amalgamated products including the fundamental group of a closed non-orientable surface of genus 3. This answers a question of O. Bogopolski and K. Sviridov, who obtained the analogous result for genus $g > 3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-16T19:57:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "amalgamated products",
      "magnus theorem",
      "magnus property",
      "normal closure",
      "fundamental group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}