{
  "id": "1806.06031",
  "version": "v1",
  "published": "2018-06-15T16:05:45.000Z",
  "updated": "2018-06-15T16:05:45.000Z",
  "title": "Two Algorithms in Group Theory",
  "authors": [
    "Rita Gitik"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "We present a new algorithm deciding if the intersection of a quasiconvex subgroup of a negatively curved group with a conjugate is finite. We also give a short proof of decidability of the membership problem for quasiconvex subgroups of finitely generated groups with decidable word problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-15T16:05:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F10",
      "20F65",
      "20F67"
    ],
    "keywords": [
      "group theory",
      "quasiconvex subgroup",
      "membership problem",
      "short proof",
      "decidable word problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}