A presentation for the mapping class group of the closed non-orientable surface of genus 4
classification
🧮 math.GT
math.GR
keywords
classgenusgroupmappingnon-orientablesurfaceclosedfinite
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Finite presentations for the mapping class group M(F) are known for arbitrary orientable compact surface F. If F is non-orientable, then such presentations are known only when F has genus at most 3 and few boundary components. In this paper we obtain finite presentation for the mapping class group of the closed non-orientable surface of genus 4 from its action on the so called ordered complex of curves.
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