arXiv:1310.3023 [math.GT]AbstractReferencesReviewsResources
A finite presentation for the twist subgroup of the mapping class group of a nonorientable surface
Published 2013-10-11, updated 2016-08-17Version 2
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.
Comments: Updated references
Journal: Bull. Korean Math. Soc. 53 (2016), No. 2, 601-614
Categories: math.GT
Keywords: mapping class group, nonorientable surface, twist subgroup, explicit finite presentation, dehn twists
Tags: journal article
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