Geodesic
Finite abelian surface coverings†
Glasgow mathematical journal, Tome 25 (1984) no. 2, pp. 207-218

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

Let G be a finite abelian group, and Y be a closed surface. The problems of classifying and enumerating the free and effective G-actions on Y modulo selfhomeomorphisms of Y and X = Y/G can be transferred into ones of classifying regular G-coverings on X. P. A. Smith [7], proved that for any prime number p there are pr(r–1)/2 equivalence classes of free (Zp)r actions on Y provided that rZgenus of X. This paper is devoted to the classification and the enumeration of regular G-covering surfaces, when G is any finite abelian group. Recently, A. Edmonds [2] classified the G-actions on closed surfaces by their G-bordism classes in the set (G) of free oriented G-cobordism classes of free oriented G-surfaces. 
Jassim, S. A. Finite abelian surface coverings†. Glasgow mathematical journal, Tome 25 (1984) no. 2, pp. 207-218. doi: 10.1017/S0017089500005632
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