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arxiv: 1308.5856 · v1 · pith:JUYY7SLZnew · submitted 2013-08-27 · 🧮 math.GT

A presentation for the mapping class group of a nonorientable surface

classification 🧮 math.GT
keywords classgroupmappingnonorientablepresentationsurfaceboundarycomponents
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Let $N_{g,n}$ denote the nonorientable surface of genus $g$ with $n$ boundary components and $M(N_{g,n})$ its mapping class group. We obtain an explicit finite presentation of $M(N_{g,n})$ for $n=0,1$ and all $g$ such that $g+n>3$.

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