Abstract
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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I thank the referee for the helpful remarks.
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The author was partially supported by a CAPES/DGU postdoctoral fellowship, reference: 4389-14-0.
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Ribón, J. Recurrent orbits of subgroups of local complex analytic diffeomorphisms. Math. Z. 285, 519–548 (2017). https://doi.org/10.1007/s00209-016-1719-5
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DOI: https://doi.org/10.1007/s00209-016-1719-5