Examples of left-orderable and non-left-orderable HNN extensions
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866914521970376704 |
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| author | Akhmedov, Azer Martin, Cody |
| author_facet | Akhmedov, Azer Martin, Cody |
| contents | We prove that an HNN extension of a torsion-free nilpotent group is left-orderable. We also construct examples of non-left-orderable HNN extensions of left-orderable groups |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_00052 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Examples of left-orderable and non-left-orderable HNN extensions Akhmedov, Azer Martin, Cody Group Theory Geometric Topology We prove that an HNN extension of a torsion-free nilpotent group is left-orderable. We also construct examples of non-left-orderable HNN extensions of left-orderable groups |
| title | Examples of left-orderable and non-left-orderable HNN extensions |
| topic | Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2301.00052 |