Quasi-homomorphisms and stable lengths in mapping class groups

Details Quasi-homomorphisms and stable lengths in mapping class groups Quasi-homomorphisms and stable lengths in mapping class groups

2003-07-28

arxiv.org/abs/math/0307362v2

Proc. Amer. Math. Soc. 132 (2004), 3167-3175

Mathematics

Group Theory

Revised to include a discussion of weak bounded generation, both in general and for mapping class groups; now 8 pages

Scientific paper

10.1090/S0002-9939-04-07508-2

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

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