Generating the twist subgroup by involutions
From MaRDI portal
Publication:5058568
DOI10.1142/S1793525321500023MaRDI QIDQ5058568
Mehmetcik Pamuk, Oğuz Yıldız, Tülin Altunöz
Publication date: 21 December 2022
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.10685
Generators, relations, and presentations of groups (20F05) 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 (3)
Generating the extended mapping class group by three involutions ⋮ On the involution generators of the mapping class group of a punctured surface ⋮ Torsion generators of the twist subgroup
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- 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
- Generating the mapping class group of a nonorientable surface by two elements or by three involutions
- 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
- Generating the surface mapping class group by two elements
- Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)
This page was built for publication: Generating the twist subgroup by involutions