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The Extended Mapping Class Group Can Be Generated by Two Torsions (1607.04030v3)
Published 14 Jul 2016 in math.GT and math.GR
Abstract: Let $S_g$ be the closed oriented surface of genus g and let $\text{Mod}{\pm}(S_g)$ be the extended mapping class group of $S_g$. When the genus is at least 5, we prove that $\text{Mod}{\pm}(S_g)$ can be generated by two torsion elements. One of these generators is an order 2 element, and the other one is an order 4g+2 element.