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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