An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface

DOI10.2748/tmj.20221121MaRDI QIDQ6589769

Genki Omori, Ryoma Kobayashi

Publication date: 20 August 2024

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

zbMATH Keywords

presentationmapping class grouptwist subgroup

Mathematics Subject Classification ID

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

Cites Work

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• An infinite presentation for the mapping class group of a nonorientable surface
• A simple presentation for the mapping class group of an orientable surface
• The second homology group of the mapping class group of an orientable surface
• Commensurability of geometric subgroups of mapping class groups
• A presentation for the mapping class group of the closed non-orientable surface of genus 4
• A presentation for the mapping class group of a closed orientable surface
• A presentation of the mapping class groups
• Mapping class groups of nonorientable surfaces
• A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities
• An infinite presentation for the mapping class group of a non-orientable surface with boundary
• A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
• Curves von 2-manifolds and isotopies
• A FINITE PRESENTATION FOR THE TWIST SUBGROUP OF THE MAPPING CLASS GROUP OF A NONORIENTABLE SURFACE
• Dehn twists on nonorientable surfaces
• A presentation for the mapping class group of a nonorientable surface
• Presentation and central extensions of mapping class groups
• Mapping class groups and their relationship to braid groups
• Die Gruppe der Abbildungsklassen. (Das arithmetische Feld auf Flächen.)
• Presentations for the punctured mapping class groups in terms of Artin groups
• A finite presentation of the mapping class group of a punctured surface
• Infinite presentations for fundamental groups of surfaces

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