Considers a rank one group G = A,Bacting cubically on a module V, this means (V,A,A,A) = 0 but (V,G,G,G)= 0. We have to distinguish whether the group A0 := CA((V,A)) ?CA(V/CV(A)) is trivial or not. The authors show that if A0 is trivial, G is a rank one group associated to a quadratic Jordan division algebra.