TORSION GENERATORS OF THE TWIST SUBGROUP

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ALTUNÖZ T., PAMUK M., Yildiz O.

TOHOKU MATHEMATICAL JOURNAL, cilt.74, sa.3, ss.389-398, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2748/tmj.20210407
  • Dergi Adı: TOHOKU MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.389-398
  • Anahtar Kelimeler: Mapping class groups, nonorientable surfaces, twist subgroup, torsion, generating sets, MAPPING CLASS GROUP, NONORIENTABLE SURFACE, HOMEOTOPY GROUP, FINITE-SET
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

We show that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus g >= 13 can be generated by two involutions and an element of order g or g -1 depending on whether 9 is odd or even respectively.