Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

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
     

   Subscribe/Renew Journal


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.
User
Subscription Login to verify subscription
Notifications
Font Size

Abstract Views: 246

PDF Views: 0




  • Genera of Compact Riemann Surfaces With Dihedral Automorphism Groups

Abstract Views: 246  |  PDF Views: 0

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.