{
  "id": "2111.13988",
  "version": "v2",
  "published": "2021-11-27T21:35:01.000Z",
  "updated": "2022-03-30T19:33:43.000Z",
  "title": "A Proof of Euler's Theorem via Quandles",
  "authors": [
    "António Lages",
    "Pedro Lopes"
  ],
  "comment": "6 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove Euler's theorem of number theory developing an argument based on quandles. A quandle is an algebraic structure whose axioms mimic the three Reidemeister moves of knot theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2022-03-30T19:33:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11A99",
      "20N99"
    ],
    "keywords": [
      "eulers theorem",
      "axioms mimic",
      "algebraic structure",
      "knot theory",
      "reidemeister moves"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}