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arXiv · 2501.19127

The normal growth of linear groups over formal power serieses

Yiftach Barnea·Jan-Christoph Schlage-Puchta
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Abstract

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 $R$.

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Yiftach Barnea, Jan-Christoph Schlage-Puchta. 2025-01-31. The normal growth of linear groups over formal power serieses. https://arxiv.org/abs/2501.19127

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