{
  "abstract": "Let m_p(G) be the number of elements of order p in a finite group G, p prime. We prove that there is no finite simple group G with m_p(G) = 2p^2-p-1, and that a finite group with this property exists if and only if 2p+1 is prime or 3^f with f an odd prime. This concerns an open problem and extends the classification of finite groups with few elements of prime order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35643",
  "author_total": 2,
  "authors": [
    {
      "name": "Ihechukwu Chinyere"
    },
    {
      "name": "Bernard O. Bainson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/31qjfmg9ps18r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35643",
  "fulltext_url": null,
  "id": "31qjfmg9ps18r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35643",
  "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": "W7223900420",
  "pdf_url": "https://arxiv.org/pdf/2610.35643",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/31qjfmg9ps18r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.35643",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35643"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Finite groups with exactly 2p + 1 subgroups of order p",
  "title_text": "Finite groups with exactly 2p + 1 subgroups of order p",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/31qjfmg9ps18r",
  "venue": "arXiv",
  "versions": []
}