The extended mapping class group can be generated by two torsions-Reference-Cited by-同舟云学术

The extended mapping class group can be generated by two torsions

Published:2017-10 Issue:11 Volume:26 Page:1750061
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Du Xiaoming¹

Affiliation:

1. School of Mathematics, South China University of Technology, 381 Wushan Rd, Tianhe Qu, Guangzhou Shi, Guangdong Sheng, P. R. China, 510630, P. R. China

Abstract

Let [Formula: see text] be the closed-oriented surface of genus [Formula: see text] and let [Formula: see text] be the extended mapping class group of [Formula: see text]. When the genus is at least 5, we prove that [Formula: see text] can be generated by two torsion elements. One of these generators is of order [Formula: see text], and the other one is of order [Formula: see text].

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216517500614

Reference11 articles.

1. Every mapping class group is generated by 6 involutions

2. Weil–Petersson isometries via the pants complex

3. B. Farb and D. Marglait, A Primer on Mapping Class Groups, Princeton Math. Series 49 (Princeton University Press, New Jersey, 2012), pp. 623–658.

4. The Structure of the Torelli Group I: A Finite Set of Generators for J

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