Geodesic
Topological types of Klein surfaces with a maximum order automorphism
Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 87-96

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

If X is a Klein surface (KS) with boundary, of algebraic genus p, and Φ is an automorphism of order N, May [8] proved that N ≤ 2p + 2 when X is orientable and p is even, and N ≤ 2p otherwise.He proved also that the unique topological type of an orientable KS having an orientation-preserving automorphism of maximum order is a surface with one boundary component when p is even, with two boundary components when p is odd. 
Bujalance, J. A. Topological types of Klein surfaces with a maximum order automorphism. Glasgow mathematical journal, Tome 30 (1988) no. 1, pp. 87-96. doi: 10.1017/S0017089500007059
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