The mapping class group is generated by two commutators

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Atıf İçin Kopyala

Baykur R. I., KORKMAZ M.

JOURNAL OF ALGEBRA, cilt.574, ss.278-291, 2021 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 574
• Basım Tarihi: 2021
• Doi Numarası: 10.1016/j.jalgebra.2021.01.021
• Dergi Adı: JOURNAL OF ALGEBRA
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
• Sayfa Sayıları: ss.278-291
• Anahtar Kelimeler: Mapping class group, Commutators, Generators of a group, Perfect groups, Symplectic group
• Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. All rights reserved.