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, vol.53, no.4, pp.1145-1156, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 4
  • Publication Date: 2022
  • Doi Number: 10.1007/s00574-022-00299-4
  • Journal Name: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1145-1156
  • Keywords: Mapping class groups, Nonorientable surfaces, Involutions
  • Middle East Technical University Affiliated: Yes

Abstract

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.