{
  "abstract": "For $n\\ge2$, let $F_n$ be the free group of rank $n$, and let $\\IA(F_n)$ be the group of automorphisms of $F_n$ acting trivially on its abelianization. Two natural filtrations of $\\IA(F_n)$ are its lower central series $γ_c(\\IA(F_n))$ and the Andreadakis filtration $\\mathrm{I}_{c+1}\\mathrm{A}(F_n)$, consisting of automorphisms acting trivially on $F_n/γ_{c+1}(F_n)$, $c \\geq 1$. Andreadakis conjectured that these filtrations coincide. We disprove this conjecture for every $n\\ge3$ and $c\\ge4$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36302",
  "author_total": 1,
  "authors": [
    {
      "name": "C. E. Kofinas"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8e0ktx9hs4xgj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36302",
  "fulltext_url": null,
  "id": "8e0ktx9hs4xgj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36302",
  "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": "W7224084742",
  "pdf_url": "https://arxiv.org/pdf/2610.36302",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8e0ktx9hs4xgj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36302",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36302"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The Andreadakis conjecture",
  "title_text": "The Andreadakis conjecture",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/8e0ktx9hs4xgj",
  "venue": "arXiv",
  "versions": []
}