Sur les sous-groupes nilpotents du groupe de Cremona

Mathematics – Group Theory

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Scientific paper

We describe the nilpotent subgroups of the group Bir(P^2(C)) of birational
transformations of the complex projective plane. Let N be a nilpotent subgroup
of class k>1; then either each element of N has finite order, or N is virtually
metabelian.

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