{
  "abstract": "The group isomorphism problem in computational complexity asks whether two finite groups given by their Cayley tables are isomorphic or not. Although polynomial-time isomorphism tests exist for many specific types of groups, no general polynomial-time algorithm is known, classes of solvable and nilpotent groups being the main obstacles. In 2012 Babai and Qiao gave a polynomial-time isomorphism test for the class of solvable groups admitting normal series with abelian Sylow factors. We generalize their result and give a polynomial-time isomorphism test for solvable A-groups, i.e. solvable groups with abelian Sylow subgroups. The algorithm heavily relies both on the computational methods developed by Babai and Qiao, and structural properties of A-groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.26748",
  "author_total": 1,
  "authors": [
    {
      "name": "Saveliy V. Skresanov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2re6hjqg95xp4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.26748",
  "fulltext_url": null,
  "id": "2re6hjqg95xp4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.26748",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CC"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7162576286",
  "pdf_url": "https://arxiv.org/pdf/2605.26748",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2re6hjqg95xp4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:57Z",
      "native_id": "2605.26748",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.26748"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Polynomial-time isomorphism test for solvable groups with abelian Sylow subgroups",
  "title_text": "Polynomial-time isomorphism test for solvable groups with abelian Sylow subgroups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:57Z",
  "url": "https://research.draconitic.com/paper/2re6hjqg95xp4",
  "venue": "arXiv",
  "versions": []
}