Generating the surface mapping class group by two elements


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Korkmaz M.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, vol.357, no.8, pp.3299-3310, 2005 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 357 Issue: 8
  • Publication Date: 2005
  • Doi Number: 10.1090/s0002-9947-04-03605-0
  • Title of Journal : TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
  • Page Numbers: pp.3299-3310

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.