{
  "id": "1905.05234",
  "version": "v1",
  "published": "2019-05-13T18:34:25.000Z",
  "updated": "2019-05-13T18:34:25.000Z",
  "title": "Algorithms for the Tits alternative and related problems",
  "authors": [
    "A. S. Detinko",
    "D. L. Flannery",
    "E. A. O'Brien"
  ],
  "journal": "Journal of Algebra 344 (2011), 397-406",
  "categories": [
    "math.GR"
  ],
  "abstract": "We present an algorithm that decides whether a finitely generated linear group over an infinite field is solvable-by-finite: a computationally effective version of the Tits alternative. We also give algorithms to decide whether the group is nilpotent-by-finite, abelian-by-finite, or central-by-finite. Our algorithms have been implemented in MAGMA and are publicly available.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-13T18:34:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tits alternative",
      "related problems",
      "finitely generated linear group",
      "infinite field",
      "solvable-by-finite"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}