Mathematics – Geometric Topology
Scientific paper
2003-09-18
Mathematics
Geometric Topology
A new section is added. New abstract. 13 pages
Scientific paper
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.
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