Generating the surface mapping class group by two elements

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2005-01-01

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Korkmaz, Mustafa

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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.

Subject Keywords

Applied Mathematics, General Mathematics

URI

https://hdl.handle.net/11511/57153

Journal

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

DOI

https://doi.org/10.1090/s0002-9947-04-03605-0

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Department of Mathematics, Article

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Citation Formats

M. Korkmaz, “Generating the surface mapping class group by two elements,” TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, pp. 3299–3310, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57153.