{
  "abstract": "Let $k$ be an algebraically closed field of odd characteristic $p$, and let $φ_d$ be the monic Chebyshev polynomial defined by $φ_d(t+t^{-1})=t^d+t^{-d}$. For $d>4$ with $p\\nmid d$, let $H_d\\le\\text{PGL}_2(k)$ be the stabilizer of the zero set of $φ_d$. We show that \\[ H_d\\cong \\begin{cases} D_d,&\\text{if }2d=p^r+1\\;\\text{ for some integer }\\;r\\geq 1,\\\\ S_3,&\\text{if }4d=p^r+1\\;\\text{ for some integer }\\; r\\geq 1,\\\\ C_2,&\\text{otherwise}. \\end{cases} \\]",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05096",
  "author_total": 2,
  "authors": [
    {
      "name": "Saeed Tafazolian"
    },
    {
      "name": "Jaap Top"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5382mj9x9bhcz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05096",
  "fulltext_url": null,
  "id": "5382mj9x9bhcz",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05096",
  "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.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05096",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5382mj9x9bhcz.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05096",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05096"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Projective symmetries of Chebyshev polynomials",
  "title_text": "Projective symmetries of Chebyshev polynomials",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/5382mj9x9bhcz",
  "venue": "arXiv",
  "versions": []
}