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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.16770 |
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| _version_ | 1866918102126559232 |
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| author | Juhasz, Arye |
| author_facet | Juhasz, Arye |
| contents | We find a polynomial (n^6) isoperimetric function for Artin groups, the defining graph of which contains no edges labelled by 3. This in particular shows that even Artin groups have solvable word problem. We use small cancellation theory of relative extended presentations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_16770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Isoperimetric functions of a class of Artin Groups Juhasz, Arye Group Theory 20F10 We find a polynomial (n^6) isoperimetric function for Artin groups, the defining graph of which contains no edges labelled by 3. This in particular shows that even Artin groups have solvable word problem. We use small cancellation theory of relative extended presentations. |
| title | On the Isoperimetric functions of a class of Artin Groups |
| topic | Group Theory 20F10 |
| url | https://arxiv.org/abs/2507.16770 |