Normal subgroups of big mapping class groups

DOI10.1090/btran/108OpenAlexW3206201866MaRDI QIDQ5046180

Lvzhou Chen, Danny Calegari

Publication date: 28 October 2022

Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07839

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Cohomology of groups (20J06) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (2)

Big mapping class groups with uncountable integral homology ⋮ Big mapping class groups and rigidity of the simple circle

Cites Work

• Topological methods in surface dynamics
• Algebraic and topological properties of big mapping class groups
• Three perfect mapping class groups
• Normal generators for mapping class groups are abundant
• Generating the Johnson filtration
• The Algebraic Simplicity of Certain Groups of Homeomorphisms
• Big Mapping Class Groups: An Overview
• Generating the surface mapping class group by two elements
• Big mapping class groups and rigidity of the simple circle
• On power subgroups of mapping class groups
• The First Integral Cohomology of Pure Mapping Class Groups
• Nielsen realization for infinite-type surfaces

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