Geodesic
Dihedral Groups of Order 2p of Automorphisms of Compact Riemann Surfaces of Genus p – 1
Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 196-206

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we prove that there is only one conjugacy class of dihedral group of order $2p$ in the $2\left( p\,-\,1 \right)\,\times \,2\left( p\,-\,1 \right)$ integral symplectic group that 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.
DOI : 10.4153/CMB-2014-041-3
Mots-clés : 20H25, 57M60, dihedral group, automorphism group, Riemann surface, integral symplectic matrix, fundamentaldomain 
Yang, Qingjie; Zhong, Weiting. Dihedral Groups of Order 2p of Automorphisms of Compact Riemann Surfaces of Genus p – 1. Canadian mathematical bulletin, Tome 58 (2015) no. 1, pp. 196-206. doi: 10.4153/CMB-2014-041-3
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