Generating the surface mapping class group by two elements

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Wajnryb proved 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.
A new section is added. New abstract. 13 pages

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Geometric Topology, Group Theory, 57M07; 20F38

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http://salesiana.dossiersoluciones.com/handle/123456789/68608

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0309299
 http://arxiv.org/abs/math/0309299

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arXiv