TORSION GENERATORS OF THE TWIST SUBGROUP

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ALTUNÖZ T., PAMUK M., Yildiz O.

TOHOKU MATHEMATICAL JOURNAL, vol.74, no.3, pp.389-398, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 74 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.2748/tmj.20210407
  • Journal Name: TOHOKU MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.389-398
  • Keywords: Mapping class groups, nonorientable surfaces, twist subgroup, torsion, generating sets, MAPPING CLASS GROUP, NONORIENTABLE SURFACE, HOMEOTOPY GROUP, FINITE-SET
  • Middle East Technical University Affiliated: Yes

Abstract

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.