The Cohen--Lyndon property in non-metric small-cancellation
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917036884492288 |
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| author | Arenas, Macarena Duda, Karol |
| author_facet | Arenas, Macarena Duda, Karol |
| contents | We show that the Cohen--Lyndon property holds for all non-metric small-cancellation quotients. This generalises the analogous result from the metric small-cancellation setting, and answers a question asked by Lyndon in 1966 and by Wall in his 1979 problem list. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20288 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Cohen--Lyndon property in non-metric small-cancellation Arenas, Macarena Duda, Karol Group Theory Geometric Topology 20F06, 20F67, 20F65 We show that the Cohen--Lyndon property holds for all non-metric small-cancellation quotients. This generalises the analogous result from the metric small-cancellation setting, and answers a question asked by Lyndon in 1966 and by Wall in his 1979 problem list. |
| title | The Cohen--Lyndon property in non-metric small-cancellation |
| topic | Group Theory Geometric Topology 20F06, 20F67, 20F65 |
| url | https://arxiv.org/abs/2310.20288 |