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arXiv · 2206.11101

Width of SL(n,O_S,I)

Pavel Gvozdevsky
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Abstract

We give an estimate for the width of the congruence subgroup $\mathrm{SL}(n,O_S,I)$ in Tits--Vaserstein generators, where $O_S$ is a localisation of the ring of integers in a number field $K$. We assume that either $K$ has a real embedding, or the ideal $I$ is prime to the number of roots of unity in $K$.

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Pavel Gvozdevsky. 2022-06-22. Width of SL(n,O_S,I). https://doi.org/10.1080/00927872.2022.2139953

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