Generating twist subgroup of mapping class group of non-orientable surface by involutions

Abstract

Let $N_g$ denote the closed non-orientable surface of genus $g$ and let ${\mathcal{M}}_g$ denote the mapping class group of $N_g$. Let ${\mathcal{T}}_g$ denote the twist subgroup of ${\mathcal{M}}_g$ which is the subgroup of ${\mathcal{M}}_g$ is generated by all Dehn twists. In this thesis, we proved that ${\mathcal{T}}_g$ is generated by six involutions for $g\ge 16$ or $g=14$.

arXiv comment8 pages, 15 figures