Geodesic
Finite groups acting on almost all surfaces: Kulkarni revisited
Thomas Tucker1 ; Thomas Tucker
1Colgate University, Hamilton NY 13346, USA
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 329-340 
Thomas Tucker; Thomas Tucker. Finite groups acting on almost all surfaces: Kulkarni revisited. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 2, pp. 329-340. http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a12/
@article{AMUC_2019_88_2_a12,
     author = {Thomas Tucker and Thomas Tucker},
     title = { Finite groups acting on almost all surfaces: {Kulkarni} revisited},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {329--340},
     year = {2019},
     volume = {88},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_2_a12/}
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Voir la notice de l'article provenant de la source Comenius University

Kulkarni showed that a group G acts preserving orientation on the surfaceof genus g, for all but nitely many g, if and only if it is almost Sylow-cyclic with its Sylow 2-subgroup cyclic, dihedral, generalized quaternion, orgeneralized dicyclic. We generalize this result to non-orientable surfaces andorientation-reversing actions.