Generating the twist subgroup by involutions

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2020-01-01

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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

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Department of Mathematics, Article

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Citation Formats

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.