Derived length of solvable groups of local diffeomorphisms

DOI10.1007/s00208-013-0975-5zbMath1328.37028arXiv1108.5779OpenAlexW2003866853MaRDI QIDQ2448326

Javier Ribón, Mitchael Martelo

Publication date: 30 April 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.5779

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Lie algebras of vector fields and related (super) algebras (17B66) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Iteration of holomorphic maps, fixed points of holomorphic maps and related problems for several complex variables (32H50) Derived series, central series, and generalizations for groups (20F14) Dynamical aspects of holomorphic foliations and vector fields (37F75)

Related Items (12)

Finite dimensional groups of local diffeomorphisms ⋮ On solvable subgroups of the Cremona group ⋮ On the maximality of the triangular subgroup ⋮ Integrating factors for groups of formal complex diffeomorphisms ⋮ On nilpotent and solvable Lie algebras of derivations ⋮ Stable manifolds of biholomorphisms in Cn$\mathbb {C}^n$ asymptotic to formal curves ⋮ BOUNDNESS OF INTERSECTION NUMBERS FOR ACTIONS BY TWO-DIMENSIONAL BIHOLOMORPHISMS ⋮ On groups of formal diffeomorphisms of several complex variables ⋮ Recurrent orbits of subgroups of local complex analytic diffeomorphisms ⋮ Discrete orbits, recurrence and solvable subgroups of Diff \((\mathbb {C}^2, 0)\) ⋮ The solvable length of groups of local diffeomorphisms ⋮ On first integrals for holomorphic vector fields

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