Bi-orderability and generalized torsion elements from the perspective of profinite properties
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917203577667584 |
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| author | Jang, Wonyong Kim, Junseok |
| author_facet | Jang, Wonyong Kim, Junseok |
| contents | Using fiber products, we construct bi-orderable groups from left-orderable groups. As an application, we show that bi-orderability is not a profinite property, answering a question of Piwek and Wykowski negatively. We also show that the existence of a generalized torsion element is not a profinite property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_20455 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bi-orderability and generalized torsion elements from the perspective of profinite properties Jang, Wonyong Kim, Junseok Group Theory Geometric Topology Using fiber products, we construct bi-orderable groups from left-orderable groups. As an application, we show that bi-orderability is not a profinite property, answering a question of Piwek and Wykowski negatively. We also show that the existence of a generalized torsion element is not a profinite property. |
| title | Bi-orderability and generalized torsion elements from the perspective of profinite properties |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2504.20455 |