Generating the mapping class groups by torsions

DOI10.1142/S0218216517500377zbMath1380.57020arXiv1506.04396MaRDI QIDQ5272461

Xiaoming Du

Publication date: 29 June 2017

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04396

zbMATH Keywords

generatortorsionmapping class groupinvolution

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38)

Related Items (1)

Generating the mapping class group by two torsion elements

Cites Work

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• The structure of the Torelli group. I: A finite set of generators for \({\mathcal I}\)
• The extended mapping class group is generated by 3 symmetries.
• Every mapping class group is generated by 6 involutions
• Mapping class group of a surface is generated by two elements
• Generating the surface mapping class group by two elements
• Generating the mapping class group by torsion elements of small order

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