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Quasi-homomorphisms and stable lengths in mapping class groups
Author(s):
D.
Kotschick
Journal:
Proc. Amer. Math. Soc.
132
(2004),
3167-3175.
MSC (2000):
Primary 20F69;
Secondary 20F12, 57M07
Posted:
May 12, 2004
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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.
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Additional Information:
D.
Kotschick
Affiliation:
Mathematisches Institut, Ludwig-Maximilians-Universität München, Theresienstr. 39, 80333 München, Germany
Email:
dieter@member.ams.org
DOI:
10.1090/S0002-9939-04-07508-2
PII:
S 0002-9939(04)07508-2
Received by editor(s):
July 28, 2003
Posted:
May 12, 2004
Additional Notes:
The author is a member of the {\sl 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 of article:
Copyright
2004,
American Mathematical Society
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