location:  Publications → journals → CMB
Abstract view

# Dihedral Groups of order $2p$ of Automorphisms of Compact Riemann Surfaces of Genus $p-1$

Published:2014-11-13
Printed: Mar 2015
• Qingjie Yang,
Department of Mathematics, Renmin University of China , Beijing, China, 100872
• Weiting Zhong,
Department of Mathematics, Renmin University of China , Beijing, China, 100872
 Format: LaTeX MathJax PDF

## Abstract

In this paper we prove that there is only one conjugacy class of dihedral group of order $2p$ in the $2(p-1)\times 2(p-1)$ integral symplectic group can be realized by an analytic automorphism group of compact connected Riemann surfaces of genus $p-1$. A pair of representative generators of the realizable class is also given.
 Keywords: dihedral group, automorphism group, Riemann surface, integral symplectic matrix, fundamental domain
 MSC Classifications: 20H25 - Other matrix groups over rings 57M60 - Group actions in low dimensions

 top of page | contact us | privacy | site map |