{
  "abstract": "In this note, we determine the finite abelian groups $G$ such that for every subgroup $H\\leq G$ there exists an automorphism $f\\in{\\rm Aut}(G)$ with ${\\rm Fix}(f)=H$. This provides a partial answer to a problem posed by Deaconescu and Walls. Two generalizations of this problem are also proposed.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07224",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexandru-Nicolae Obreja"
    },
    {
      "name": "Marius Tărnăuceanu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6k40jrpe8b1dn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07224",
  "fulltext_url": null,
  "id": "6k40jrpe8b1dn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07224",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07224",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6k40jrpe8b1dn.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07224",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07224"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Extending a property of vector spaces to abelian groups",
  "title_text": "Extending a property of vector spaces to abelian groups",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/6k40jrpe8b1dn",
  "venue": "arXiv",
  "versions": []
}