{
  "id": "2204.13758",
  "version": "v1",
  "published": "2022-04-28T20:26:31.000Z",
  "updated": "2022-04-28T20:26:31.000Z",
  "title": "Using EDT0L systems to solve equations in the solvable Baumslag-Solitar groups",
  "authors": [
    "Andrew Duncan",
    "Alex Evetts",
    "Derek F. Holt",
    "Sarah Rees"
  ],
  "comment": "29 pages, 1 figure",
  "categories": [
    "math.GR"
  ],
  "abstract": "We investigate the solution sets to equations in the solvable Baumslag-Solitar groups $BS(1,k)$, $k\\geq2$, and show that these sets are represented by EDT0L languages in some cases. In particular, we prove that the multiplication table of such a group forms an \\E language in an appropriate sense.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-04-28T20:26:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03D05",
      "20F65",
      "20F70",
      "68Q45"
    ],
    "keywords": [
      "solvable baumslag-solitar groups",
      "edt0l systems",
      "solution sets",
      "edt0l languages",
      "group forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}