{
  "abstract": "The construction of absolutely irreducible $KG$-modules for a field $K$ and a finite group $G$ is a basic problem in representation theory. For the symmetric group $\\operatorname{S}_n$, Gordon James gave an explicit solution using subgroup data associated to a $μ$-tableau $t$ for partitions $μ\\vdash n$. Here, we want to investigate in which way James's method can be extended beyond symmetric groups. We identify suitable subgroup data from a finite group and use it to construct a module such that an associated factor module is absolutely irreducible or zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.37430",
  "author_total": 1,
  "authors": [
    {
      "name": "Nora Krauß"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/86w3ayj7ftzny.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.37430",
  "fulltext_url": null,
  "id": "86w3ayj7ftzny",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.37430",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7214998607",
  "pdf_url": "https://arxiv.org/pdf/2609.37430",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/86w3ayj7ftzny.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:35Z",
      "native_id": "2609.37430",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.37430"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Absolutely irreducible modules via James triples",
  "title_text": "Absolutely irreducible modules via James triples",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:35Z",
  "url": "https://research.draconitic.com/paper/86w3ayj7ftzny",
  "venue": "arXiv",
  "versions": []
}