Quasi-homomorphisms and stable lengths in mapping class groups

Kotschick, D.

doi:10.1090/S0002-9939-04-07508-2

Quasi-homomorphisms and stable lengths in mapping class groups
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Proc. Amer. Math. Soc. 132 (2004), 3167-3175 Request permission

Abstract:

We give elementary applications of quasi-homomorphisms to growth problems in groups. A particular case concerns the number of torsion elements required to factor a given element in the mapping class group of a surface.

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