  We consider a C$_6$ invariant lattice of magnetic moments coupled via a Kondo
exchange $J$ with a 2D electron gas (2DEG). The effective
Ruderman-Kittel-Kasuya-Yosida interaction between the moments stabilizes a
magnetic skyrmion crystal in the presence of magnetic field and easy-axis
anisotropy. An attractive aspect of this mechanism is that the magnitude of the
magnetic ordering wave vectors, ${\mathbf Q}_{\nu}$ ($\nu=1,2,3$), is dictated
by the Fermi wave number $k_F$: $|{\mathbf Q}_{\nu} |=2k_F$. Consequently, the
topological contribution to the Hall conductivity of the 2DEG becomes of the
order of the quantized value, $e^2/h$, when $J$ is comparable to the Fermi
energy $\epsilon_F$.
