Groupes de Cremona, connexité et simplicité
Le groupe de Cremona est connexe en toute dimension et, muni de sa topologie, il est simple en dimension .
The number of conjugacy classes of elements of the Cremona group of some given finite order
This note presents the study of the conjugacy classes of elements of some given finite order in the Cremona group of the plane. In particular, it is shown that the number of conjugacy classes is infinite if is even, or , and that it is equal to (respectively ) if (respectively if ) and to for all remaining odd orders. Some precise representative elements of the classes are given.
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