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arXiv · 1912.10685

Generating the Twist Subgroup by Involutions

Tulin Altunoz·Mehmetcik Pamuk·Oguz Yildiz
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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.

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Tulin Altunoz, Mehmetcik Pamuk, Oguz Yildiz. 2020-02-10. Generating the Twist Subgroup by Involutions. https://arxiv.org/abs/1912.10685

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