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arXiv · 0709.2798

The twist subgroup of the mapping class group of a nonorientable surface

Michal Stukow
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Abstract

Let T(N) be the subgroup of the mapping class group of a nonorientable surface N (possibly with punctures and/or boundary components) generated by twists about two-sided circles. We obtain a simple generating set for T(N). As an application we compute the first homology group (abelianization) of T(N).

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Michal Stukow. 2007-09-18. The twist subgroup of the mapping class group of a nonorientable surface. https://arxiv.org/abs/0709.2798

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