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

Canadian mathematical bulletin

Weiting Zhong¹  Qingjie Yang¹ 

[1] Department of Mathematics, Renmin University of China , Beijing, China, 100872

关键词: dihedral group;    automorphism group;    Riemann surface;    integral symplectic matrix;    fundamental domain;   

DOI  :  10.4153/CMB-2014-041-3

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we prove that there is only one conjugacy class ofdihedral group of order $2p$ in the $2(p-1)imes 2(p-1)$ integralsymplectic group can be realized by an analytic automorphismgroupof compact connected Riemann surfaces of genus $p-1$. A pair ofrepresentative generators of the realizable class is also given.

【 授权许可】

Unknown