The twist subgroup of the mapping class group of a nonorientable surface
Stukow, Michał
Osaka J. Math., Tome 46 (2009) no. 1, p. 717-738 / Harvested from Project Euclid
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Let $\mathcal{T}(N)$ 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 $\mathcal{T}(N)$. As an application we compute the first homology group (abelianization) of $\mathcal{T}(N)$.
Publié le : 2009-09-15
Classification:  57N05,  20F38,  57M99 
@article{1256564203,
     author = {Stukow, Micha\l },
     title = {The twist subgroup of the mapping class group of a nonorientable surface},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 717-738},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1256564203}
}

Stukow, Michał. The twist subgroup of the mapping class group of a nonorientable surface. Osaka J. Math., Tome 46 (2009) no. 1, pp.  717-738. http://gdmltest.u-ga.fr/item/1256564203/