The twist subgroup is generated by two elements

DOI10.2748/tmj.20221017MaRDI QIDQ6589766

Tülin Altunöz, Oğuz Yıldız, Mehmetcik Pamuk

Publication date: 20 August 2024

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

zbMATH Keywords

torsiongenerating setscommutatorsmapping class groupsnonorientable surfacestwist subgroup

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)

Cites Work

• Title not available (Why is that?)
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• Mapping class groups of nonorientable surfaces
• A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
• The mapping class group is generated by two commutators
• Torsion generators of the twist subgroup
• Generating the mapping class group of a nonorientable surface by three torsions
• The torsion generating set of the mapping class groups and the Dehn twist subgroups of non-orientable surfaces of odd genus
• First homology group of mapping class groups of nonorientable surfaces
• Generating the surface mapping class group by two elements
• On finite index subgroups of the mapping class group of a nonorientable surface

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