Ordered bases, order-preserving automorphisms and bi-orderable link groups
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918286827978752 |
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| author | Cai, Tommy Wuxing Clay, Adam Rolfsen, Dale |
| author_facet | Cai, Tommy Wuxing Clay, Adam Rolfsen, Dale |
| contents | We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the "magic manifold" is bi-orderable, answering a question of Kin and Rolfsen. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Ordered bases, order-preserving automorphisms and bi-orderable link groups Cai, Tommy Wuxing Clay, Adam Rolfsen, Dale Group Theory Geometric Topology 06F15, 20F60, 57M05, 57K30 We give a new criterion which guarantees that a free group admits a bi-ordering that is invariant under a given automorphism. As an application, we show that the fundamental group of the "magic manifold" is bi-orderable, answering a question of Kin and Rolfsen. |
| title | Ordered bases, order-preserving automorphisms and bi-orderable link groups |
| topic | Group Theory Geometric Topology 06F15, 20F60, 57M05, 57K30 |
| url | https://arxiv.org/abs/2406.18876 |