2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/226521We complete the classical and modern work on the classification of conjugacy classes of finite subgroups of the group of birational transformations of the complex projective plane.90 pages, an assertion from Theorem 5.7 has been corrected, some remarks and a reference have been addedAlgebraic GeometryGroup Theory14E07text