Abstract
Abstract
We are interested in the algebraic properties of groups of local biholomorphisms and their
consequences. A natural question is whether the complexity of solvable groups is bounded
by the dimension of the ambient space. In this spirit we
show that
{2n+1}
is the sharpest upper bound for the derived length of solvable subgroups
of the group
{\mathrm{Diff}({\mathbb{C}}^{n},0)}
of local complex analytic diffeomorphisms
for
{n=2,3,4,5}
.
Funder
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Subject
Applied Mathematics,General Mathematics
Reference56 articles.
1. Discrete orbits, recurrence and solvable subgroups of Diff(ℂ2,0){\mathrm{Diff}({{\mathbb{C}}}^{2},0)};J. Geom. Anal.,2016
2. Beweis eines Satzes über diskrete Gruppen;Abh. Math. Sem. Univ. Hamburg,1937
3. Derived length of solvable groups of local diffeomorphisms;Math. Ann.,2014
4. Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I;Funktsional. Anal. i Prilozhen.,1982
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献