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arXiv · 1310.3023

A finite presentation for the twist subgroup of the mapping class group of a nonorientable surface

Michal Stukow
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Abstract

Let $N_{g,s}$ denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski obtained an explicit finite presentation for the mapping class group $M(N_{g,s})$ of the surface $N_{g,s}$, where $s\in{0,1}$ and $g+s>3$. Following this work we obtain a finite presentation for the subgroup $T(N_{g,s})$ of $M(N_{g,s})$ generated by Dehn twists.

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Michal Stukow. 2013-10-11. A finite presentation for the twist subgroup of the mapping class group of a nonorientable surface. https://doi.org/10.4134/bkms.2016.53.2.601

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