Quasi-homomorphisms and stable lengths in mapping class groups
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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.References
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Additional Information
- D. Kotschick
- Affiliation: Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany
- MR Author ID: 267229
- Email: dieter@member.ams.org
- Received by editor(s): July 28, 2003
- Published electronically: May 12, 2004
- Additional Notes: The author is a member of the European Differential Geometry Endeavour (EDGE), Research Training Network HPRN-CT-2000-00101, supported by The European Human Potential Programme
- Communicated by: Ronald A. Fintushel
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 3167-3175
- MSC (2000): Primary 20F69; Secondary 20F12, 57M07
- DOI: https://doi.org/10.1090/S0002-9939-04-07508-2
- MathSciNet review: 2073290