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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2304.01077 |
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| _version_ | 1866917682252611584 |
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| author | Witdouck, Thomas |
| author_facet | Witdouck, Thomas |
| contents | It is proven that every non-abelian right-angled Artin group has the $R_\infty$-property and bounds are given on the $R_\infty$-nilpotency index. In case the graph is transposition-free, which is true for almost all graphs, it is shown that the $R_\infty$-nilpotency index is equal to 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_01077 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The $R_\infty$-property for right-angled Artin groups and their nilpotent quotients Witdouck, Thomas Group Theory It is proven that every non-abelian right-angled Artin group has the $R_\infty$-property and bounds are given on the $R_\infty$-nilpotency index. In case the graph is transposition-free, which is true for almost all graphs, it is shown that the $R_\infty$-nilpotency index is equal to 2. |
| title | The $R_\infty$-property for right-angled Artin groups and their nilpotent quotients |
| topic | Group Theory |
| url | https://arxiv.org/abs/2304.01077 |