Torsion Generators Of The Twist Subgroup

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Date

2022-1-01

Author

Altunöz, Tülin
Pamuk, Mehmetcik
Yildiz, Oguz

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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.

Subject Keywords

Mapping class groups, nonorientable surfaces, twist subgroup, torsion, generating sets, MAPPING CLASS GROUP, NONORIENTABLE SURFACE, HOMEOTOPY GROUP, FINITE-SET

URI

https://hdl.handle.net/11511/101777

Journal

TOHOKU MATHEMATICAL JOURNAL

DOI

https://doi.org/10.2748/tmj.20210407

Collections

Department of Mathematics, Article

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Citation Formats

T. Altunöz, M. Pamuk, and O. Yildiz, “Torsion Generators Of The Twist Subgroup,” TOHOKU MATHEMATICAL JOURNAL, vol. 74, no. 3, pp. 389–398, 2022, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/101777.