Bull. Korean Math. Soc. 2016; 53(2): 601-614
Printed March 31, 2016
https://doi.org/10.4134/BKMS.2016.53.2.601
Copyright © The Korean Mathematical Society.
Micha\l\ Stukow
University of Gda\'nsk
Let $N_{g,s}$ denote the nonorientable surface of genus $g$ with $s$ boundary components. Recently Paris and Szepietowski \cite{SzepParis} obtained an explicit finite presentation for the mapping class group $\cM(N_{g,s})$ 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 $\cT(N_{g,s})$ of $\cM(N_{g,s})$ generated by Dehn twists.
Keywords: mapping class group, nonorientable surface, twist subgroup, presentation
MSC numbers: Primary 57N05; Secondary 20F38, 57M99
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