Geodesic
Symmetries of surfaces: an extension of Kulkarni's theorem
Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 173-184

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

In [6] Kulkarni considered the set of values of g for which a given finite group G acts faithfully as a group of orientation-preserving self-homeomorphisms of a compact, connected, orientable surface σg of genus g. Let us denote this set by (G). Then Kulkarni showed that there exists a positive integer Kdepending only on the order d = |G| of G, the exponent e= exp G of G and the structure of a Sylow 2-subgroup G2 of G, satisfying:Theorem 1. (Kulkarni [6]) (G) consists of all but finitely many non-negative integers g ≡ 1 mod K. 
Jones, Gareth A. Symmetries of surfaces: an extension of Kulkarni's theorem. Glasgow mathematical journal, Tome 36 (1994) no. 2, pp. 173-184. doi: 10.1017/S0017089500030718
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