Abstract
In this chapter we present some preliminary results concerning, mostly, the representation of a compact Riemann S as the orbit space of the hyperbolic plane H under the action of a surface Fuchsian group G. This is a consequence of the Uniformization Theorem for Riemann surfaces. The main point here is that if S = H/G is symmetric then its full automorphism group Aut(S) is a factor group ?/G where ? is a proper NEC group containing G as a normal subgroup.
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© 2010 Springer Berlin Heidelberg
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Bujalance, E., Cirre, F.J., Gamboa, J.M., Gromadzki, G. (2010). Preliminaries. In: Symmetries of Compact Riemann Surfaces. Lecture Notes in Mathematics(), vol 2007. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14828-6_1
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DOI: https://doi.org/10.1007/978-3-642-14828-6_1
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14827-9
Online ISBN: 978-3-642-14828-6
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