{
  "abstract": "It is an open problem to determine whether surface groups can embed in Thompson's group $V$. We prove that any finitely generated subgroup of Thompson's group $T$ without abelian groups of arbitrary high rank is either virtually abelian or virtually free. In particular, surface groups don't embed in $T$, answering a question of Belk and Moore.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Nicolás Matte Bon"
    },
    {
      "name": "Michele Triestino"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1ktr9m26q9fmb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.16530",
  "fulltext_url": null,
  "id": "1ktr9m26q9fmb",
  "issns": [],
  "landing_url": "https://hal.science/hal-05852238v1",
  "language": "en",
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7203684803",
  "pdf_url": "https://hal.science/hal-05852238/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1ktr9m26q9fmb.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:13Z",
      "native_id": "hal-05852238",
      "source": "hal",
      "url": "https://hal.science/hal-05852238v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometric and Algebraic Topology",
      "subfield": "geometry-topology"
    }
  ],
  "title": "$\\mathbb{Z}^2$-free subgroups of Thompson's $T$ are virtually free",
  "title_text": "ℤ^2-free subgroups of Thompson's T are virtually free",
  "type": "preprint",
  "updated_at": "2026-11-06T12:20:44Z",
  "url": "https://research.draconitic.com/paper/1ktr9m26q9fmb",
  "venue": "HAL",
  "versions": []
}