Derived length of solvable groups of local diffeomorphisms

Details Derived length of solvable groups of local diffeomorphisms Derived length of solvable groups of local diffeomorphisms

2011-08-29

arxiv.org/abs/1108.5779v1

Mathematics

Dynamical Systems

27 pages

Scientific paper

Let $G$ be a solvable subgroup of the group $\diff{}{n}$ of local complex
analytic diffeomorphisms. Analogously as for groups of matrices we bound the
solvable length of $G$ by a function of $n$. Moreover we provide the best
possible bounds for connected, unipotent and nilpotent groups.

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