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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.19127 |
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| _version_ | 1866916592269393920 |
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| author | Barnea, Yiftach Schlage-Puchta, Jan-Christoph |
| author_facet | Barnea, Yiftach Schlage-Puchta, Jan-Christoph |
| contents | Put $R=\F[[t_1, \ldots, t_d]])$. We estimate the number of normal subgroups of $\mathrm{SL}_2^1(\F[[t_1, \ldots, t_d]])$ for $p>2$, the number of ideals in the Lie algebra $\Lie(R)$, and the number of ideals in the associative algebra $R$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_19127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The normal growth of linear groups over formal power serieses Barnea, Yiftach Schlage-Puchta, Jan-Christoph Group Theory 20E07 20G25 Put $R=\F[[t_1, \ldots, t_d]])$. We estimate the number of normal subgroups of $\mathrm{SL}_2^1(\F[[t_1, \ldots, t_d]])$ for $p>2$, the number of ideals in the Lie algebra $\Lie(R)$, and the number of ideals in the associative algebra $R$. |
| title | The normal growth of linear groups over formal power serieses |
| topic | Group Theory 20E07 20G25 |
| url | https://arxiv.org/abs/2501.19127 |