The Andreadakis Problem for the McCool groups
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913723026767872 |
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| author | Darné, Jaques Enomoto, Naoya Satoh, Takao |
| author_facet | Darné, Jaques Enomoto, Naoya Satoh, Takao |
| contents | In this short paper, we show that the McCool group does not satisfy the Andreadakis equality from degree $7$, and we give a lower bound for the size of the difference between the two relevant filtrations. As a consequence, we see that the Andreadakis problem for the McCool group does not stabilize. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20652 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Andreadakis Problem for the McCool groups Darné, Jaques Enomoto, Naoya Satoh, Takao Group Theory Algebraic Topology In this short paper, we show that the McCool group does not satisfy the Andreadakis equality from degree $7$, and we give a lower bound for the size of the difference between the two relevant filtrations. As a consequence, we see that the Andreadakis problem for the McCool group does not stabilize. |
| title | The Andreadakis Problem for the McCool groups |
| topic | Group Theory Algebraic Topology |
| url | https://arxiv.org/abs/2502.20652 |