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arXiv · 1901.01401

The Torsion Generating Set Of The Extended Mapping Class Groups In Low Genus Cases

Xiaoming Du
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Abstract

We prove that for genus $g=3,4$, the extended mapping class group $\text{Mod}^{\pm}(S_g)$ can be generated by two elements of finite orders. But for $g=1$, $\text{Mod}^{\pm}(S_1)$ cannot be generated by two elements of finite orders.

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Xiaoming Du. 2019-01-05. The Torsion Generating Set Of The Extended Mapping Class Groups In Low Genus Cases. https://arxiv.org/abs/1901.01401

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