Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or by Three Involutions

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Altunöz T., Pamuk M., Yildiz O.

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, cilt.53, sa.4, ss.1145-1156, 2022 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 53 Sayı: 4
• Basım Tarihi: 2022
• Doi Numarası: 10.1007/s00574-022-00299-4
• Dergi Adı: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Academic Search Premier, MathSciNet, zbMATH
• Sayfa Sayıları: ss.1145-1156
• Anahtar Kelimeler: Mapping class groups, Nonorientable surfaces, Involutions
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We prove that, for g >= 19 the mapping class group of a nonorientable surface of genus g, Mod(N-g), can be generated by two elements, one of which is of order g. We also prove that for g >= 26, Mod(N-g) can be generated by three involutions.