{
  "abstract": "We solve a question raised by Chen and Navarro concerning Brauer characters and nilpotent subgroups. Let $N\\lhd G$, assume that $G/N$ is solvable, and let $N\\leq H\\leq G$ with $H/N$ nilpotent. We prove that for every irreducible $\\ell$-Brauer character $θ$ of $H$ there exists an irreducible $\\ell$-Brauer character $χ$ of $G$ such that $θ$ is a constituent of $χ_H$ and $χ(1)$ divides $|G:H|θ(1)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.31063",
  "author_total": 1,
  "authors": [
    {
      "name": "Yong Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ybzw2p88m07s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.31063",
  "fulltext_url": null,
  "id": "7ybzw2p88m07s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.31063",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7204935956",
  "pdf_url": "https://arxiv.org/pdf/2608.31063",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ybzw2p88m07s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.31063",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.31063"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Brauer character degrees and nilpotent subgroups",
  "title_text": "Brauer character degrees and nilpotent subgroups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/7ybzw2p88m07s",
  "venue": "arXiv",
  "versions": []
}