{
  "id": "1912.07102",
  "version": "v1",
  "published": "2019-12-15T20:14:04.000Z",
  "updated": "2019-12-15T20:14:04.000Z",
  "title": "Fields generated by characters of finite linear groups",
  "authors": [
    "Madeline Locus Dawsey",
    "Ken Ono",
    "Ian Wagner"
  ],
  "categories": [
    "math.NT",
    "math.GR",
    "math.RT"
  ],
  "abstract": "In previous work, the authors confirmed the speculation of J. G. Thompson that certain multiquadratic fields are generated by specified character values of sufficiently large alternating groups $A_n$. Here we address the natural generalization of this speculation to the finite general linear groups $\\mathrm{GL}_m\\left(\\mathbb{F}_q\\right)$ and $\\mathrm{SL}_2\\left(\\mathbb{F}_q\\right)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-15T20:14:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20B30",
      "20C30",
      "11R20"
    ],
    "keywords": [
      "finite linear groups",
      "finite general linear groups",
      "specified character values",
      "speculation",
      "sufficiently large alternating groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}