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Generating the Twist Subgroup by Involutions
Preprint

Generating the Twist Subgroup by Involutions

Abstract

For a nonorientable surface, the twist subgroup is an index 2 subgroup of the mapping class group. It is generated by Dehn twists about two-sided simple closed curves. In this paper, we study involution generators of the twist subgroup. We give generating sets of involutions with the smallest number of elements our methods allow.

Authors

Altunoz T; Pamuk M; Yildiz O

Publication date

December 23, 2019

DOI

10.48550/arxiv.1912.10685

Preprint server

arXiv
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