Self-similar surfaces: involutions and perfection

DOI10.1307/MMJ/20216114MaRDI QIDQ6590153

Justin Malestein, Jing Tao

Publication date: 21 August 2024

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

generatorsmapping class grouporientation preserving homeomorphisminvolution, big mapping class group

Mathematics Subject Classification ID

Geometric group theory (20F65) 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?)
• Hyperbolicity of the ray graph and quasimorphism on a big modular group
• Continuity of homomorphisms
• Involutions in surface mapping class groups
• Vorlesungen über Topologie. I.: Flächentopologie. Mit 80 Textfiguren.
• Algebraic and topological properties of big mapping class groups
• Every mapping class group is generated by 6 involutions
• Mapping class group is generated by three involutions
• Three perfect mapping class groups
• Isometry groups of infinite-genus hyperbolic surfaces
• On the Classification of Noncompact Surfaces
• The First Integral Cohomology of Pure Mapping Class Groups

Related Items (2)

Homeomorphism groups of 2-manifolds with the virtual Rokhlin property ⋮ Homeomorphism groups of self-similar 2-manifolds

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