{
  "abstract": "Motivated by the theory of Riemann surfaces and specifically the significance of Weierstrass points, we prove general structure results about finite groups that have a faithful transitive action with fixity 4. We also explain examples for many different possibilities of such actions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00733",
  "author_total": 5,
  "authors": [
    {
      "name": "Barbara Baumeister"
    },
    {
      "name": "Paula Hähndel"
    },
    {
      "name": "Kay Magaard"
    },
    {
      "name": "Christoph Möller"
    },
    {
      "name": "Rebecca Waldecker"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2sez2e97ne0yx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00733",
  "fulltext_url": null,
  "id": "2sez2e97ne0yx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00733",
  "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"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7206153756",
  "pdf_url": "https://arxiv.org/pdf/2609.00733",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2sez2e97ne0yx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2609.00733",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00733"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Finite permutation groups that act with fixity 4",
  "title_text": "Finite permutation groups that act with fixity 4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/2sez2e97ne0yx",
  "venue": "arXiv",
  "versions": []
}