  The stability of the system comprising the cold immobile Lorentz plasma of
density $N_e$ and the directed nonrelativistic (velocity $\vec{V}$) electronic
beam of a small density $N'_e << N_e$ is investigated. The instability
increment of the system is found via analysis of the electric permittivity
$\epsilon(\omega)$ in the limiting case of $\omega$ being much greater than the
effective frequency of collisions. A conclusion is made that the system in
question is stable with respect to oscillations with relatively small values of
$\vec{k} \vec{V}$.
