{
  "id": "2103.07312",
  "version": "v1",
  "published": "2021-03-12T14:35:05.000Z",
  "updated": "2021-03-12T14:35:05.000Z",
  "title": "Character Triple Conjecture for $p$-Solvable Groups",
  "authors": [
    "Damiano Rossi"
  ],
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "In this paper, we prove Sp\\\"ath's Character Triple Conjecture for $p$-solvable groups. This is a conjecture proposed by Sp\\\"ath during the reduction process of Dade's Projective Conjecture to quasisimple groups. In addition, as suggested by Isaacs and Navarro, we take into account the $p$-residue of characters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-12T14:35:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20C25"
    ],
    "keywords": [
      "character triple conjecture",
      "solvable groups",
      "quasisimple groups",
      "dades projective conjecture",
      "reduction process"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}