{
  "abstract": "We construct the first examples of uncountable families of residually finite duality groups of type $FP$, all of which have isomorphic profinite completions, while being pairwise not quasi-isometric. To establish these finiteness properties, we prove conjectures of Leary regarding groups of deck transformations of certain cubical branched covers being residually finite and virtually special. The main new tool is a strong separability result for Bestvina-Brady groups, allowing the extension of any finite quotient of many Bestvina-Brady subgroups to a finite quotient of the whole group. This gives a finite version of the congruence extension property, which we also establish for the same group pairs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32775",
  "author_total": 1,
  "authors": [
    {
      "name": "Vladimir Vankov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ag6vw5k03amg1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32775",
  "fulltext_url": null,
  "id": "ag6vw5k03amg1",
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  "landing_url": "https://arxiv.org/abs/2610.32775",
  "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": "W7223669653",
  "pdf_url": "https://arxiv.org/pdf/2610.32775",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ag6vw5k03amg1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.32775",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32775"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Large profinite genus and extensions in Bestvina-Brady groups",
  "title_text": "Large profinite genus and extensions in Bestvina-Brady groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/ag6vw5k03amg1",
  "venue": "arXiv",
  "versions": []
}