Recurrent orbits of subgroups of local complex analytic diffeomorphisms

Mathematische Zeitschrift - Tập 285 - Trang 519-548 - 2016
Javier Ribón1
1Instituto de Matemática, UFF, Niterói, Brazil

Tóm tắt

We show recurrent phenomena for orbits of groups of local complex analytic diffeomorphisms that have a certain subgroup or image by a morphism of groups that is non-virtually solvable. In particular we prove that a non-virtually solvable subgroup of local biholomorphisms has always recurrent orbits, i.e. there exists an orbit contained in its set of limit points.

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Mathematische Zeitschrift

Tập 285

519-548

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