Torsion generators of the twist subgroup

DOI10.2748/tmj.20210407OpenAlexW4298149040MaRDI QIDQ2083523

Mehmetcik Pamuk, Tülin Altunöz, Oğuz Yıldız

Publication date: 11 October 2022

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

Full work available at URL: https://arxiv.org/abs/2001.06326

zbMATH Keywords

torsiongenerating setsmapping 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

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Low-dimensional linear representations of the mapping class group of a nonorientable surface
• The twist subgroup of the mapping class group of a nonorientable surface
• Involutions in surface mapping class groups
• A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
• Involutions in mapping class groups of non-orientable surfaces
• Every mapping class group is generated by 6 involutions
• Mapping class group of a surface is generated by two elements
• Mapping class group is generated by three involutions
• The mapping class group is generated by two commutators
• Generating the mapping class group by two torsion elements
• The torsion generating set of the mapping class groups and the Dehn twist subgroups of non-orientable surfaces of odd genus
• The mapping class group of a nonorientable surface is generated by three elements and by four involutions.
• A FINITE PRESENTATION FOR THE TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A NONORIENTABLE SURFACE
• First homology group of mapping class groups of nonorientable surfaces
• Generating the surface mapping class group by two elements
• Generating the twist subgroup by involutions
• Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)

This page was built for publication: Torsion generators of the twist subgroup