{
  "abstract": "Let $A$ and $G$ be finite groups such that $A$ acts coprimely on $G$ by automorphisms. For any fixed prime divisor $p$ of $|G|$, we prove that if every non-nilpotent maximal $A$-invariant subgroup of $G$ of order divisible by $p$ is normal then $G$ has a Sylow tower and $G$ is $q$-nilpotent or $q$-closed for each prime divisor $q$ of $|G|$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.30653",
  "author_total": 3,
  "authors": [
    {
      "name": "Jiangtao Shi"
    },
    {
      "name": "Fanghua Li"
    },
    {
      "name": "Na Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2cd7ea9eah3v0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.30653",
  "fulltext_url": null,
  "id": "2cd7ea9eah3v0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.30653",
  "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",
      "math.GR"
    ],
    [
      "openalex",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7223271438",
  "pdf_url": "https://arxiv.org/pdf/2610.30653",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2cd7ea9eah3v0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.30653",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.30653"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On a finite group in which every non-nilpotent maximal invariant subgroup of order divisible by $p$ is normal",
  "title_text": "On a finite group in which every non-nilpotent maximal invariant subgroup of order divisible by p is normal",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/2cd7ea9eah3v0",
  "venue": "arXiv",
  "versions": []
}