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October 2021 The torsion generating set of the extended mapping class groups in low genus cases
Xiaoming DU
Author Affiliations +
Osaka J. Math. 58(4): 815-825 (October 2021).

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.

Funding Statement

The author is supported by the Fundamental Research Funds for the Central Universities in China.

Citation

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Xiaoming DU. "The torsion generating set of the extended mapping class groups in low genus cases." Osaka J. Math. 58 (4) 815 - 825, October 2021.

Information

Received: 17 February 2020; Revised: 10 June 2020; Published: October 2021
First available in Project Euclid: 11 October 2021

Subjects:
Primary: 20F05 , 57M60

Rights: Copyright © 2021 Osaka University and Osaka City University, Departments of Mathematics

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Vol.58 • No. 4 • October 2021
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