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, 2022 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1007/s00574-022-00299-4
  • Title of Journal : Bulletin of the Brazilian Mathematical Society
  • Keywords: Involutions, Mapping class groups, Nonorientable surfaces

Abstract

© 2022, Sociedade Brasileira de Matemática.We prove that, for g≥ 19 the mapping class group of a nonorientable surface of genus g, Mod (Ng) , can be generated by two elements, one of which is of order g. We also prove that for g≥ 26 , Mod (Ng) can be generated by three involutions.