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Generating the twist subgroup by involutions
Journal article

Generating the twist subgroup by involutions

Abstract

For a nonorientable surface, the twist subgroup is an index [Formula: see text] 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.

Authors

Altunöz T; Pamuk M; Yildiz O

Journal

Journal of Topology and Analysis, Vol. 14, No. 04, pp. 823–846

Publisher

World Scientific Publishing

Publication Date

December 1, 2022

DOI

10.1142/s1793525321500023

ISSN

1793-5253
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