{
  "abstract": "We prove that every length-preserving automorphism of a nonspherical Artin or Coxeter group has infinite Reidemeister number. As a consequence, we establish property $R_\\infty$ for large-type free-of-infinity Artin groups, infinite strongly rigid Coxeter groups, and infinite virtually abelian Coxeter groups, including all affine Coxeter groups. We also prove that the automorphism group of every infinite irreducible non-affine strongly rigid Coxeter group is acylindrically hyperbolic.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13904",
  "author_total": 1,
  "authors": [
    {
      "name": "Ignat Soroko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/841yg58cz4pg5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13904",
  "fulltext_url": null,
  "id": "841yg58cz4pg5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13904",
  "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",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7221524394",
  "pdf_url": "https://arxiv.org/pdf/2610.13904",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/841yg58cz4pg5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13904",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13904"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Property $R_\\infty$ for Artin and Coxeter groups whose outer automorphisms are length-preserving",
  "title_text": "Property R_∞ for Artin and Coxeter groups whose outer automorphisms are length-preserving",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/841yg58cz4pg5",
  "venue": "arXiv",
  "versions": []
}