Generating the surface mapping class group by two elements


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Korkmaz M.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.357, ss.3299-3310, 2005 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 357 Konu: 8
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1090/s0002-9947-04-03605-0
  • Dergi Adı: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Sayfa Sayıları: ss.3299-3310

Özet

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.