Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or By Three Involutions
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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Zusammenfassung: | 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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DOI: | 10.48550/arxiv.2104.10958 |