Generating the surface mapping class group by two elements
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- by Mustafa Korkmaz PDF
- Trans. Amer. Math. Soc. 357 (2005), 3299-3310 Request permission
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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Additional Information
- Mustafa Korkmaz
- Affiliation: Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey
- Email: korkmaz@arf.math.metu.edu.tr
- Received by editor(s): November 8, 2003
- Received by editor(s) in revised form: January 8, 2004
- Published electronically: 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-GEBİP 2003-10)
- © Copyright 2004
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 357 (2005), 3299-3310
- MSC (2000): Primary 57M07, 20F05; Secondary 57M60, 20F38
- DOI: https://doi.org/10.1090/S0002-9947-04-03605-0
- MathSciNet review: 2135748