Journal of the Ramanujan Mathematical Society

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Genera of Compact Riemann Surfaces With Dihedral Automorphism Groups


Affiliations
1 Department of Mathematics, Pragjyotish College, Guwahati-781009, India
2 Department of Mathematics, Gauhati University, CAM AH ATI-781014, India
     

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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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  • Genera of Compact Riemann Surfaces With Dihedral Automorphism Groups

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Authors

Buddha Prasad Chetiya
Department of Mathematics, Pragjyotish College, Guwahati-781009, India
Kuntala Patra
Department of Mathematics, Gauhati University, CAM AH ATI-781014, India

Abstract


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.