Failure of separation by quasi-homomorphisms in mapping class groups

DOI10.1090/S0002-9939-07-08866-1zbMath1127.20029arXivmath/0606199MaRDI QIDQ5291917

Dieter Kotschick, Hisaaki Endo

Publication date: 19 June 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606199

zbMATH Keywords

mapping class groupsquasi-homomorphismsoriented closed surfacesproducts of torsion elements

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphisms of infinite groups (20E36) Asymptotic properties of groups (20F69) Commutator calculus (20F12)

Related Items (2)

Stable commutator length on mapping class groups ⋮ Stable commutator length in word-hyperbolic groups.

Cites Work

• Abelian and solvable subgroups of the mapping class group
• Stable commutator length in word-hyperbolic groups.
• Involutions in surface mapping class groups
• The second bounded cohomology of word-hyperbolic groups
• Geometry of the complex of curves. I: Hyperbolicity
• Bounded cohomology of subgroups of mapping class groups
• Rank-1 phenomena for mapping class groups
• Kick stability in groups and dynamical systems
• On the Residual Finiteness of Certain Mapping Class Groups
• Two Theorems on the Mapping Class Group of a Surface
• Pseudo-periodic homeomorphisms and degeneration of Riemann surfaces
• Stable mixing for cat maps and quasi-morphisms of the modular group
• Quasi-homomorphisms and stable lengths in mapping class groups
• Bounded cohomology and non-uniform perfection of mapping class groups

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