{
  "abstract": "A group is an {\\it $\\SJ$-group} if it admits a general abelian series all of whose terms are subnormal of finite defect in the whole group. We construct a group $G$ which is not an~\\hbox{$\\SJ$-group}, although every countable subgroup of $G$ is an $\\SJ$-group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05415",
  "author_total": 4,
  "authors": [
    {
      "name": "M. Brescia"
    },
    {
      "name": "B. G. Di Siena"
    },
    {
      "name": "E. Ingrosso"
    },
    {
      "name": "M. Trombetti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/br0792gk09s95.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05415",
  "fulltext_url": null,
  "id": "br0792gk09s95",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05415",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7220708379",
  "pdf_url": "https://arxiv.org/pdf/2610.05415",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/br0792gk09s95.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05415",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05415"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "The group class SJ is not countably recognizable",
  "title_text": "The group class SJ is not countably recognizable",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/br0792gk09s95",
  "venue": "arXiv",
  "versions": []
}