Generating the twist subgroup by involutions

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ALTUNÖZ T., PAMUK M., Yildiz O.

Journal of Topology and Analysis, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2020
  • Doi Number: 10.1142/s1793525321500023
  • Journal Name: Journal of Topology and Analysis
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Middle East Technical University Affiliated: Yes

Abstract

© World Scientific Publishing CompanyFor a nonorientable surface, the twist subgroup is an index 2 subgroup of the mapping class group generated by Dehn twists about two-sided simple closed curves. In this paper, we consider involution generators of the twist subgroup and give generating sets of involutions with smaller number of generators than the ones known in the literature using new techniques for finding involution generators.