2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161190This note presents the study of the conjugacy classes of elements of some given finite order n in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if n is even, n=3 or n=5, and that it is equal to 3 (respectively 9) if n=9 (respectively 15), and is exactly 1 for all remaining odd orders. Some precise representative elements of the classes are given.14 pagesAlgebraic Geometry14E07text