{
  "id": "2303.15059",
  "version": "v1",
  "published": "2023-03-27T10:04:34.000Z",
  "updated": "2023-03-27T10:04:34.000Z",
  "title": "Results on formally dual sets in finite abelian groups of size 64 obtained from a graph search algorithm",
  "authors": [
    "Robert Schüler"
  ],
  "categories": [
    "math.GR",
    "math.CO"
  ],
  "abstract": "We shortly present two small results regarding the study formal duality in finite abelian groups as introduced by Cohn, Kumar, Reiher and Sch\\\"urmann. In particular, we give a new example of a formally self dual set in $\\mathbb{Z}_2^2\\times\\mathbb{Z}_4^2$ and computed nonexistence of primitive formally dual sets of size $8$ in $\\mathbb{Z}_8^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-27T10:04:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15",
      "20K01"
    ],
    "keywords": [
      "finite abelian groups",
      "graph search algorithm",
      "study formal duality",
      "formally self dual set",
      "primitive formally dual sets"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}