Xiaoming Du
Published 2016-07-14Version 1
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.
Comments: 7 pages, 5 figures
The Torsion Generating Set Of The Extended Mapping Class Groups In Low Genus Cases
Generators for Extended Mapping Class Groups
Generating the mapping class groups with torsions
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