A finite presentation for the mapping class group of a nonorientable surface with Dehn twists and one crosscap slide as generators
arXiv:1310.2722 · doi:10.1016/j.jpaa.2014.03.013
Abstract
Let N_{g,s} denote the nonorientable surface of genus g with s boundary components. Recently Paris and Szepietowski obtained an explicit finite presentation for the mapping class group M(N_{g,s}) of the surface N_{g,s}, where s\in{0,1} and g+s>3. Following this work we obtain a finite presentation for the mapping class group M(N_{g,s}) with generators being Dehn twists and one crosscap slide.
Incorporates referee's comments. To appear in Journal of Pure and Applied Algebra
References in corpus (2)
Cited by in corpus (11)
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- An infinite presentation for the twist subgroup of the mapping class group of a compact non-orientable surface
- Generating the mapping class group of a nonorientable surface by crosscap transpositions
- A small generating set for the twist subgroup of the mapping class group of a non-orientable surface by Dehn twists
- A finite presentation for the automorphism group of the first homology of a non-orientable surface over preserving the mod intersection form