Geodesic
On the order of automorphism groups of Klein surfaces
Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 75-81

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

A problem of special interest in the study of automorphism groups of surfaces are the bounds of the orders of the groups as a function of the genus of the surface.May has proved that a Klein surface with boundary of algebraic genus p has at most 12(p–1) automorphisms [9].In this paper we study the highest possible prime order for a group of automorphisms of a Klein surface. This problem was solved for Riemann surfaces by Moore in [10]. We shall use his results for studying the Klein surfaces that are not Riemann surfaces. The more general result that we obtain is the following: if X is a Klein surface of algebraic genus p, and G is a group of automorphisms of X, of prime order n, then n ≤ p + 1. 
Gordejuela, J. J. Etayo. On the order of automorphism groups of Klein surfaces. Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 75-81. doi: 10.1017/S0017089500005796
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