Generating the surface mapping class group by two elements

Author:
Mustafa Korkmaz

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

Published electronically:
December 28, 2004

MathSciNet review:
2135748

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Abstract | References | Similar Articles | Additional Information

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.

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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:
https://doi.org/10.1090/S0002-9947-04-03605-0

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)

Article copyright:
© Copyright 2004
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.