Generalized torsion in amalgams
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916685339951104 |
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| author | Cai, Tommy Wuxing Clay, Adam |
| author_facet | Cai, Tommy Wuxing Clay, Adam |
| contents | We give a condition sufficient to ensure that an amalgam of groups is generalized torsion-free. As applications, we construct a closed 3-manifold whose fundamental group is generalized torsion-free and non bi-orderable; a one-relator group which is generalized torsion-free and non bi-orderable; and a group which is generalized torsion-free and non left-orderable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_08084 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generalized torsion in amalgams Cai, Tommy Wuxing Clay, Adam Group Theory 05E16, 06F15, 20F60, 57M05 We give a condition sufficient to ensure that an amalgam of groups is generalized torsion-free. As applications, we construct a closed 3-manifold whose fundamental group is generalized torsion-free and non bi-orderable; a one-relator group which is generalized torsion-free and non bi-orderable; and a group which is generalized torsion-free and non left-orderable. |
| title | Generalized torsion in amalgams |
| topic | Group Theory 05E16, 06F15, 20F60, 57M05 |
| url | https://arxiv.org/abs/2504.08084 |