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Generating the twist subgroup by involutions
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Date
2020-01-01
Author
Altunöz, Tülin
Pamuk, Mehmetcik
Yildiz, Oguz
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For 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.
Subject Keywords
Mapping class groups
,
nonorientable surfaces
,
twist subgroup
,
involutions
URI
https://hdl.handle.net/11511/90784
Journal
Journal of Topology and Analysis
DOI
https://doi.org/10.1142/s1793525321500023
Collections
Department of Mathematics, Article
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T. Altunöz, M. Pamuk, and O. Yildiz, “Generating the twist subgroup by involutions,”
Journal of Topology and Analysis
, pp. 0–0, 2020, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/90784.