  The z axis magnetization of a two dimensional electron gas with contact
repulsive interaction and in presence of a Rashba potential is computed by
means of quantum field theory at second order. A striking effect of the pure
Rashba interaction is that of hindering spin alignment along the z direction.
Evidence of transition at critical repulsive interaction coupling constant is
still found. The degree of magnetization, however, shows a clear dependence on
the spin-orbit interaction strength. Furthermore, the transition to magnetized
state appears to be smoothed by the presence of the Rashba interaction.
