Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions

Tulin Altunoz; Mehmetcik Pamuk; Oguz Yildiz

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arXiv · 2104.10958

Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions

Tulin Altunoz·Mehmetcik Pamuk·Oguz Yildiz

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Abstract

We prove that, for $g\geq19$ the mapping class group of a nonorientable surface of genus $g$, $\textrm{Mod}(N_g)$, can be generated by two elements, one of which is of order $g$. We also prove that for $g\geq26$, $\textrm{Mod}(N_g)$ can be generated by three involutions if $g\geq26$.

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Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz. 2021-04-22. Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions. https://arxiv.org/abs/2104.10958

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