Generating the surface mapping class group by torsion elements

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2020-12-24

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Yıldız, Oğuz

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n this thesis, we study generators of the mapping class groupMod(Σg)of a closedconnected orientable surfaceΣgof genusg. The mapping class groupMod(Σg)isknown to be generated by three involutions ifg≥8and by two torsion elements oforder4g+ 2. We show that the mapping class group is also generated by three involutions for sur-faces with smaller genera and by two torsion elements of smaller orders.

Subject Keywords

Mapping Class Groups, Generators

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https://hdl.handle.net/11511/89691

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

O. Yıldız, “Generating the surface mapping class group by torsion elements,” Ph.D. - Doctoral Program, Middle East Technical University, 2020.