  Predictions for the global polarization of $\Lambda$ hyperons in Au+Au
collisions at moderately relativistic collision energies, 2.4
$\leq\sqrt{s_{NN}}\leq$ 11 GeV, are made. These are based on the thermodynamic
approach to the global polarization incorporated into the model of the
three-fluid dynamics. Centrality dependence of the polarization is studied. It
is predicted that the polarization reaches a maximum or a plateau (depending on
the equation of state and centrality) at $\sqrt{s_{NN}}\approx$ 3 GeV. It is
found that the global polarization increases with increasing width of the
rapidity window around the midrapidity.
