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1 results

Dihedral Groups of Order 2p of Automorphisms of Compact Riemann Surfaces of Genus p – 1
Qingjie Yang, Weiting Zhong
Journal:

Canadian Mathematical Bulletin / Volume 58 / Issue 1 / 01 March 2015

Published online by Cambridge University Press:

20 November 2018, pp. 196-206

Print publication:

01 March 2015
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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.