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On nilpotent groups of real analytic diffeomorphisms of the torus

Authors :
Julio C. Rebelo
Source :
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics. 331:317-322
Publication Year :
2000
Publisher :
Elsevier BV, 2000.

Abstract

Let Diff ω 0 ( T 2 ) denote the connected component of the identity of the group of real analytic diffeomorphisms of the torus of dimension 2 . We consider nilpotent subgroups Diff ω 0 ( T 2 ) and we show that they are metabelian. This implies in particular that any homomorphism from a subgroup of finite index of SL (n, Z ) (n≥4) to Diff ω 0 ( T 2 ) has a finite image.

Details

ISSN :
07644442
Volume :
331
Database :
OpenAIRE
Journal :
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics
Accession number :
edsair.doi...........8e231468cd2c419032bb061bddf97bf6