{
  "abstract": "In this paper we prove a generalized version of Mel'nikov's Criterion, which has also been proved by Haran, and use it in order to connect the realization as absolute Galois groups of free pronite and free pro-p products of a sheaf of pro-p groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01966",
  "author_total": 1,
  "authors": [
    {
      "name": "Tamar Bar-On"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bzfk0673spfw6.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01966",
  "fulltext_url": null,
  "id": "bzfk0673spfw6",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01966",
  "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"
    ],
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      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
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  ],
  "openalex": "W7215905702",
  "pdf_url": "https://arxiv.org/pdf/2610.01966",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bzfk0673spfw6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.01966",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01966"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Infinite free pro-p products as absolute Galois groups",
  "title_text": "Infinite free pro-p products as absolute Galois groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/bzfk0673spfw6",
  "venue": "arXiv",
  "versions": []
}