{
  "id": "2308.05815",
  "version": "v1",
  "published": "2023-08-10T18:31:19.000Z",
  "updated": "2023-08-10T18:31:19.000Z",
  "title": "On exponentiation, $p$-automata and HNN extensions of free abelian groups",
  "authors": [
    "Andriy Oliynyk",
    "Veronika Prokhorchuk"
  ],
  "categories": [
    "math.GR"
  ],
  "abstract": "For every prime $p$ it is shown that a wide class of HNN extensions of free abelian groups admit faithful representation by finite $p$-automata.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-10T18:31:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20E08",
      "20E22",
      "20E26"
    ],
    "keywords": [
      "hnn extensions",
      "exponentiation",
      "abelian groups admit faithful representation",
      "free abelian groups admit faithful",
      "wide class"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}