  We prove that every Kaehler solvmanifold has a finite covering whose
holomorphic reduction is a principal bundle. An example is given that
illustrates the necessity, in general, of passing to a proper covering. We also
answer a stronger version of a question posed by Akhiezer for homogeneous
spaces of nonsolvable algebraic groups in the case where the isotropy has the
property that its intersection with the radical is Zariski dense in the
radical.
