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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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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.