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

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.

Updated references

References in corpus (2)

• A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
• A presentation for the mapping class group of a nonorientable surface

Cited by in corpus (4)

• The Torsion Generating Set Of The Dehn Twist Subgroups Of Non-orientable Surfaces
• An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface
• A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
• The Twist Subgroup is generated by two elements