On Lie groups, transitive on compact solvmanifolds

Lie groups which are transitive on compact homogeneous spaces of type $K(\pi,1)$ with solvable $\pi$ are studied (these spaces turn out to be homeomorphic to solvmanifolds-homogeneous spaces of solvable Lie groups). Transitive actions of Lie groups on nilmanifolds (homogeneous spaces of nilpotent Lie groups), in particular on the torus $T^n$, are studied in more detail.
Bibliography: 15 titles.