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Generating the surface mapping class group by two elements
Author(s):
Mustafa
Korkmaz
Journal:
Trans. Amer. Math. Soc.
357
(2005),
3299-3310.
MSC (2000):
Primary 57M07, 20F05;
Secondary 57M60, 20F38
Posted:
December 28, 2004
MathSciNet review:
2135748
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Abstract:
Wajnryb proved in 1996 that the mapping class group of an orientable surface is generated by two elements. We prove that one of these generators can be taken as a Dehn twist. We also prove that the extended mapping class group is generated by two elements, again one of which is a Dehn twist. Another result we prove is that the mapping class groups are also generated by two elements of finite order.
References:
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 involutions, J. Algebra 278 (2004), 187-198. MR 2068073 - 2.
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Additional Information:
Mustafa
Korkmaz
Affiliation:
Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
Email:
korkmaz@arf.math.metu.edu.tr
DOI:
10.1090/S0002-9947-04-03605-0
PII:
S 0002-9947(04)03605-0
Received by editor(s):
November 8, 2003
Received by editor(s) in revised form:
January 8, 2004
Posted:
December 28, 2004
Additional Notes:
The author was supported in part by the Turkish Academy of Sciences under the Young Scientists Award Program (MK/TÜBA-GEBIP 2003-10)
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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