Geodesic
Automorphism groups of complex doubles of Klein surfaces
Glasgow mathematical journal, Tome 36 (1994) no. 3, pp. 313-330

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

In this paper we consider complex doubles of compact Klein surfaces that have large automorphism groups. It is known that a bordered Klein surface of algebraic genus g > 2 has at most 12(g − 1) automorphisms. Surfaces for which this bound is sharp are said to have maximal symmetry. The complex double of such a surface X is a compact Riemann surface X+ of genus g and it is easy to see that if G is the group of automorphisms of X then C2 × G is a group of automorphisms of X+. A natural question is whether X+ can have a group that strictly contains C2 × G. In [8] C. L. May claimed the following interesting result: there is a unique Klein surface X with maximal symmetry for which Aut X+ properly contains C2 × Aut X (where Aut X+ denotes the group of conformal and anticonformal automorphisms of X+). 
Bujalance, E.; Costa, A. F.; Gromadzki, G.; Singerman, D. Automorphism groups of complex doubles of Klein surfaces. Glasgow mathematical journal, Tome 36 (1994) no. 3, pp. 313-330. doi: 10.1017/S0017089500030925
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