On singular equations over torsion-free groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866908441098846208 |
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| author | Edjvet, Martin Howie, James |
| author_facet | Edjvet, Martin Howie, James |
| contents | We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-free groups: in particular a singular equation of syllable length at most 18 over a torsion-free group has a solution in some overgroup. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_07634 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On singular equations over torsion-free groups Edjvet, Martin Howie, James Group Theory Primary 20F70, 20F05. Secondary 20E06, 20F06 We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-free groups: in particular a singular equation of syllable length at most 18 over a torsion-free group has a solution in some overgroup. |
| title | On singular equations over torsion-free groups |
| topic | Group Theory Primary 20F70, 20F05. Secondary 20E06, 20F06 |
| url | https://arxiv.org/abs/2001.07634 |