{
  "abstract": "In a 2023 survey paper, Gabriel Navarro posed the following problem: Given an irreducible character $χ$ of some solvable group $G$ where $χ$ either is 2-rational or has odd degree, does there exist some $g \\in G$ such that $\\mathbb{Q}(χ(g)) = \\mathbb{Q}(χ)$? The answer was recently shown to be no in general by Ulrich Thiel. However, when $χ$ is further assumed to be factorizable as a product of $p$-special characters, we are able to show that the answer is yes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12326",
  "author_total": 1,
  "authors": [
    {
      "name": "Christopher Herbig"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9ww9srdm7nbvv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12326",
  "fulltext_url": null,
  "id": "9ww9srdm7nbvv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12326",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7212508080",
  "pdf_url": "https://arxiv.org/pdf/2609.12326",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9ww9srdm7nbvv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.12326",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12326"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On a question of Navarro on the field of values of characters of solvable groups",
  "title_text": "On a question of Navarro on the field of values of characters of solvable groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/9ww9srdm7nbvv",
  "venue": "arXiv",
  "versions": []
}