{
  "id": "1903.10068",
  "version": "v1",
  "published": "2019-03-24T22:22:43.000Z",
  "updated": "2019-03-24T22:22:43.000Z",
  "title": "Equations in Metabelian Baumslag-Solitar Groups",
  "authors": [
    "Olga Kharlampovich",
    "Laura Lopez",
    "Alexei Miasnikov"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "In this paper we show that Diophantine problem in solvable Baumslag-Solitar groups $BS(1,k)$ is decidable, i.e., there is an algorithm that given a finite system of equations with constants in $BS(1,k)$ decides whether or not the system has a solution in the group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-24T22:22:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F70"
    ],
    "keywords": [
      "metabelian baumslag-solitar groups",
      "diophantine problem",
      "solvable baumslag-solitar groups",
      "finite system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}