Generation of finite subgroups of the mapping class group of genus 2 surface by Dehn twists

DOI10.1016/j.jpaa.2018.01.002zbMath1486.20058arXiv1703.09414OpenAlexW2602971492MaRDI QIDQ1635326

Toshihiro Nakanishi, Gou Nakamura

Publication date: 6 June 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09414

zbMATH Keywords

finite subgroupsgeneratorsmapping class groupclosed surface of genus 2Humphries generators

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) 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 (2)

Non-abelian simple groups act with almost all signatures ⋮ Dehn twist presentations of hyperelliptic periodic diffeomorphisms on closed surfaces

Cites Work

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• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• Every mapping class group is generated by 6 involutions
• Presentation of hyperelliptic periodic monodromies and splitting families
• Computing adapted bases for conformal automorphism groups of Riemann surfaces
• Noncomplex smooth 4-manifolds with genus-2 Lefschetz fibrations
• Generating the surface mapping class group by two elements
• The Nielsen realization problem

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