{
  "abstract": "The solvable degree of a Schur algebra $D$ is the greatest common divisor of all integers $n$ such that $D^{n\\times n}$ is a direct summand of the rational group algebra $\\Q G$ for some finite solvable group $G$. The main result of this paper gives divisibility conditions on the solvable degree depending on the center and the rational primes that divide the discriminant of $D$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.08490",
  "author_total": 2,
  "authors": [
    {
      "name": "Gabriele Nebe"
    },
    {
      "name": "David Schlang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3786wah4y0b6b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.08490",
  "fulltext_url": null,
  "id": "3786wah4y0b6b",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.08490",
  "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.RT"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7220928462",
  "pdf_url": "https://arxiv.org/pdf/2610.08490",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3786wah4y0b6b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.08490",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.08490"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The solvable degree of a Schur algebra",
  "title_text": "The solvable degree of a Schur algebra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/3786wah4y0b6b",
  "venue": "arXiv",
  "versions": []
}