The extended mapping class group can be generated by two torsions

DOI10.1142/S0218216517500614zbMath1386.57026arXiv1607.04030OpenAlexW2964147179MaRDI QIDQ4596271

Xiaoming Du

Publication date: 1 December 2017

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

Full work available at URL: https://arxiv.org/abs/1607.04030

zbMATH Keywords

generatortorsionmapping class group

Mathematics Subject Classification ID

Other groups related to topology or analysis (20F38)

Related Items (3)

The torsion generating set of the extended mapping class groups in low genus cases ⋮ Generating the extended mapping class group by three involutions ⋮ On the involution generators of the mapping class group of a punctured surface

Cites Work

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• Involutions in surface mapping class groups
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• Automorphisms of the pants complex
• Every mapping class group is generated by 6 involutions
• Mapping class group of a surface is generated by two elements
• Weil–Petersson isometries via the pants complex
• Generating the surface mapping class group by two elements
• Generating the mapping class group by torsion elements of small order
• Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)

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