Generating the extended mapping class group by three involutions

MaRDI QIDQ2683730

Oğuz Yıldız, Tülin Altunöz, Mehmetcik Pamuk

Publication date: 14 February 2023

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10907

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

On the involution generators of the mapping class group of a punctured surface

Cites Work

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• Two Theorems on the Mapping Class Group of a Surface
• The extended mapping class group can be generated by two torsions
• Generating the surface mapping class group by two elements
• Generating the twist subgroup by involutions
• A finite presentation of the mapping class group of a punctured surface

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