  In this paper, we give a characterization for any abelian subgroup G of a lie
group of diffeomorphisms maps of C^n, having a somewhere dense orbit G(x), x in
C^n: G(x) is somewhere dense in C^n if and only if there are f_{1},....,f_{2n+1
in exp^{-1}(G) such that f_{2n+1} in vect(f_{1},...,f_{2n}) and
Z.f_{1}(x)+....+Z.f_{2n+1}(x) is dense subgroup of C^n, where
vect(f_{1},....,f_{2n}) is the vector space over R generated by
f_{1},....,f_{2n}.
