On injectivity of Cohen-Wu homomorphism
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912479487983616 |
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| author | Ionin, Vasily |
| author_facet | Ionin, Vasily |
| contents | We give a new elementary proof of the theorem that a natural map from Milnor's construction $F[S^1]$ to the simplicial group $\mathrm{AP}$ of pure braids is injective. Our approach is group-theoretic and does not rely on Lie algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09636 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On injectivity of Cohen-Wu homomorphism Ionin, Vasily Group Theory We give a new elementary proof of the theorem that a natural map from Milnor's construction $F[S^1]$ to the simplicial group $\mathrm{AP}$ of pure braids is injective. Our approach is group-theoretic and does not rely on Lie algebras. |
| title | On injectivity of Cohen-Wu homomorphism |
| topic | Group Theory |
| url | https://arxiv.org/abs/2507.09636 |