  We study numerically the ground state magnetization for clusters of
interacting electrons in two dimensions in the regime where the single particle
wavefunctions are localized by disorder. It is found that the Coulomb
interaction leads to a spontaneous ground state magnetization. For a constant
electronic density, the total spin increases linearly with the number of
particles, suggesting a ferromagnetic ground state in the thermodynamic limit.
The magnetization is suppressed when the single particle states become
delocalized.
