{
  "id": "2505.10509",
  "version": "v1",
  "published": "2025-05-15T17:13:23.000Z",
  "updated": "2025-05-15T17:13:23.000Z",
  "title": "Vanishing pairs of conjugacy classes for the symmetric group",
  "authors": [
    "Velmurugan S"
  ],
  "comment": "Comments are welcome!",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this short note, we classify pairs of conjugacy classes of the symmetric group such that any non-linear irreducible character of the symmetric group vanishes on at least one of them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2025-05-15T17:13:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C30",
      "20C15"
    ],
    "keywords": [
      "conjugacy classes",
      "vanishing pairs",
      "symmetric group vanishes",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}