{
  "id": "2404.17840",
  "version": "v1",
  "published": "2024-04-27T09:15:52.000Z",
  "updated": "2024-04-27T09:15:52.000Z",
  "title": "A finitely presented group with transcendental spectral radius",
  "authors": [
    "Corentin Bodart"
  ],
  "comment": "4 pages",
  "categories": [
    "math.GR",
    "math.LO"
  ],
  "abstract": "In this short note, we prove the existence of a finitely presented group with transcendental spectral radius. The proof relies on links between decidability of the Word Problem and semi-computability of the spectral radius.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-27T09:15:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "transcendental spectral radius",
      "short note",
      "proof relies",
      "word problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}