{
  "abstract": "Let $G=D_{\\langle2\\rangle}([0,1])$ be equipped with either of its two Dlab orders. There exists an order automorphism $α$ of $G$ such that, for every rank-one subgroup $H\\leq\\mathbb R_{>0}^{\\times}$, every one of the six corresponding Dlab groups $A$ listed below, equipped with any of its linear orders, every order-preserving embedding $e:G\\hookrightarrow A$, and every $u\\in A$, there exists $f\\in G$ such that $e(α(f))\\neq u^{-1}e(f)u$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18630",
  "author_total": 3,
  "authors": [
    {
      "name": "Ting Gong"
    },
    {
      "name": "Yong Yang"
    },
    {
      "name": "Michael Ruofan Zeng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/26qfcdwp4rfcv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18630",
  "fulltext_url": null,
  "id": "26qfcdwp4rfcv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18630",
  "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/2609.18630",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/26qfcdwp4rfcv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18630",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18630"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "An order automorphism of a Dlab group not induced by conjugation",
  "title_text": "An order automorphism of a Dlab group not induced by conjugation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/26qfcdwp4rfcv",
  "venue": "arXiv",
  "versions": []
}