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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.13555 |
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Table of Contents:
- Let $N_{g,n}$ be a genus $g$ compact non-orientable surface with $n$ boundaries. We explain about relations on the level $d$ mapping class group $\mathcal{M}_d(N_{g,0})$ of $N_{g,0}$ and the level $d$ principal congruence subgroup $Γ_d(g-1)$ of $\mathrm{SL}(g-1;\mathbb{Z})$. As applications, we give a normal generating set of $\mathcal{M}_d(N_{g,n})$ for $g\ge4$ and $n\ge0$, and finite generating sets of $\mathcal{M}_d(N_{g,n})$ for some $d$, any $g\ge4$ and $n\ge0$.