Generating the surface mapping class group by two elements

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Atıf İçin Kopyala

Korkmaz M.

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, cilt.357, sa.8, ss.3299-3310, 2005 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 357 Sayı: 8
• Basım Tarihi: 2005
• Doi Numarası: 10.1090/s0002-9947-04-03605-0
• Dergi Adı: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.3299-3310
• Orta Doğu Teknik Üniversitesi Adresli: Evet

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.