{
  "id": "1612.06913",
  "version": "v1",
  "published": "2016-12-20T23:03:02.000Z",
  "updated": "2016-12-20T23:03:02.000Z",
  "title": "Supercharacter theories of dihedral groups",
  "authors": [
    "Jonathan Lamar"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "The set of supercharacter theories of a fixed group $G$ forms a natural lattice. An open question in the study of supercharacter theories is to classify this lattice, and to date, this has only been done for the cyclic groups $\\mathbb{Z}_n$. In this paper, we classify the supercharacter theory lattice of the dihedral groups $D_{2n}$ in terms of their cyclic subgroups of rotations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-20T23:03:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C15"
    ],
    "keywords": [
      "dihedral groups",
      "supercharacter theory lattice",
      "cyclic groups",
      "open question",
      "natural lattice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}