{
  "abstract": "Let $G$ be finite group. A subgroup $H$ of $G$ is said to be $c$-normal in $G$ if there exists a normal subgroup $N$ of $G$ such that $G = HN$ and $H\\cap N\\leq H_G$, where $H_G$ is the core of $H$ in $G$. Let $P$ be a nontrivial $p$-group. A chain of subgroups $1=P_0 <P_1<\\cdots P_{n-1}<P_n=P$ is called a maximal chain of $P$ provided that $|P_i:P_{i-1}|=p$ for $i=1,2,\\ldots n-1$. In this paper, we determine the structure of finite groups having $c$-normal subgroups of of a maximal chain of Sylow subgroups. We obtain new characterizations of finite $p$-nilpotent and supersolvable groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26968",
  "author_total": 2,
  "authors": [
    {
      "name": "Wei Meng"
    },
    {
      "name": "Feiyu Geng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cbw5f9ft0fsrd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26968",
  "fulltext_url": null,
  "id": "cbw5f9ft0fsrd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26968",
  "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",
      "2607|Finite Group Theory Research"
    ]
  ],
  "openalex": "W7223122162",
  "pdf_url": "https://arxiv.org/pdf/2610.26968",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cbw5f9ft0fsrd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:08Z",
      "native_id": "2610.26968",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26968"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On $c$-Normal Maximal Chains of Sylow Subgroups in Finite Groups",
  "title_text": "On c-Normal Maximal Chains of Sylow Subgroups in Finite Groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/cbw5f9ft0fsrd",
  "venue": "arXiv",
  "versions": []
}