{
  "abstract": "Let $G$ be a finite group and $S$ be a subset of $G$ with $1\\not\\in S$. $S$ is called a $CI$-subset of $G$ if for any $T\\subset G$, whenever $Cay (G,S)\\cong Cay (G,T)$, there is an element $σ\\in Aut(G)$ such that $S^σ=T$. For a positive integer $m$, $G$ is called an $m$-$CI$-group if all subsets $S$ of $G \\setminus \\{1\\}$ with $|S|\\leq m$ and $S^{-1}=S$ are $CI$-subsets. In this paper, we show that the generalized quaternion group of order $4n$ is a $4$-$CI$-group if and only if $n$ is odd.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38470",
  "author_total": 3,
  "authors": [
    {
      "name": "Lele Jin"
    },
    {
      "name": "Li Ma"
    },
    {
      "name": "Wei Meng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6d6jknt0ztw4c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38470",
  "fulltext_url": null,
  "id": "6d6jknt0ztw4c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38470",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38470",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6d6jknt0ztw4c.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38470",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38470"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On isomorphisms of tetravalent Cayley graphs over generalized quaternion groups",
  "title_text": "On isomorphisms of tetravalent Cayley graphs over generalized quaternion groups",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/6d6jknt0ztw4c",
  "venue": "arXiv",
  "versions": []
}