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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası:
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1142/s1793525321500023
  • Dergi Adı: Journal of Topology and Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

© 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.