Quasi-homomorphisms on mapping class groups

Details Quasi-homomorphisms on mapping class groups Quasi-homomorphisms on mapping class groups

2007-02-09

arxiv.org/abs/math/0702273v1

Mathematics

Group Theory

Scientific paper

We refine the construction of quasi-homomorphisms on mapping class groups. It is useful to know that there are unbounded quasi-homomorphisms which are bounded when restricted to particular subgroups since then one deduces that the mapping class group is not boundedly generated by these subgroups. In this note we enlarge the class of such subgroups. The generalization is motivated by considerations in first order theory of free groups.

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