On 3-strand singular pure braid group
| Autor: | Bardakov, Valeriy G., Kozlovskaya, Tatyana A. |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | In the present paper we study the singular pure braid group $SP_{n}$ for $n=2, 3$. We find generators, defining relations and the algebraical structure of these groups. In particular, we prove that $SP_{3}$ is a semi-direct product $SP_{3} = \widetilde{V}_3 \leftthreetimes \mathbb{Z}$, where $\widetilde{V}_3$ is an HNN-extension with base group $\mathbb{Z}^2 * \mathbb{Z}^2$ and cyclic associated subgroups. We prove that the center $Z(SP_3)$ of $SP_3$ is a direct factor in $SP_3$. Comment: 18 pages, 1 figure |
| Databáze: | arXiv |
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