{
  "id": "2210.00699",
  "version": "v1",
  "published": "2022-10-03T03:27:16.000Z",
  "updated": "2022-10-03T03:27:16.000Z",
  "title": "Regular Cayley Maps of Elementary abelian $p$-groups: Classification and Enumeration",
  "authors": [
    "Shaofei Du",
    "Hao Yu",
    "Wenjuan Luo"
  ],
  "comment": "20 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Recently, regular Cayley maps of cyclic groups and dihedral groups have been classified. A nature question is to classify regular Cayley maps of elementary abelian $p$-groups $Z_p^n$. In this paper, a complete classification of regular Cayley maps of $Z_p^n$ is given and moreover, the number of these maps and their genera are enumerated.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-03T03:27:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elementary abelian",
      "enumeration",
      "classify regular cayley maps",
      "cyclic groups",
      "complete classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}