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Genera of Compact Riemann Surfaces With Dihedral Automorphism Groups
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Let D2p be the dihedral group of order 2p where p is an odd prime. Riemann surfaces of different genera can admit D2p as an automorphism group. In this paper we find all possible genera (r > 2) of the Riemann surfaces admitting D2p as an automorphism group.
Keywords
Fuchsian Group, Smooth Quotient, Riemann Surface Automorphism Group, Dihedral Group.
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