Generating the surface mapping class group by torsion elements

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2020-12-24
Yıldız, Oğuz
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.

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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.