Groupes de Cremona, connexité et simplicité

Abstract

The Cremona group is connected in any dimension and, endowed with its topology, it is simple in dimension 2. ----- Le groupe de Cremona est connexe en toute dimension et, muni de sa topologie, il est simple en dimension 2.

6 pages, in french

Cited by in corpus (4)

• Normal subgroups in the Cremona group (long version)
• Dixmier Groups and Borel Subgroups
• Some remarks about the Zariski topology of the Cremona group
• On Cremona Transformations of P^3 which factorize in a minimal form