  We evaluate the transport coefficients of a two-dimensional electron gas
(2DEG) in the presence of a perpendicular magnetic field and of the spin-orbit
interaction (SOI) described only by the Rashba term. The SOI mixes the spin-up
and spin-down states of neighboring Landau levels into two new, unequally
spaced energy branches. The broadened density of states, as a function of the
energy, and the longitudinal resistivity, as a function of the magnetic field,
show beating patterns in agreement with observations. The positions of any two
successive nodes in the beating pattern approximately determine the strength of
the Rashba term.
  A strong SOI results in a splitting of the magnetoresistance peaks and a
doubling of the number of the Hall plateaus. The peak value in derivative of
the Hall resistivity reflects the strength of the SOI.
