The conductance through two quantum dots in series is studied using general
qualitative arguments and quantitative slave-boson mean-field theory. It i
s demonstrated that measurements of the conductance can explore the phase d
iagram of the two-impurity Anderson model. Competition between the Kondo ef
fect and the interdot magnetic exchange leads to a two-plateau structure il
l the conductance as a function to the gate voltage and a two or three peak
structure in the conductance versus interdot tunneling.