  We provide an algebraic characterization of strong ordered Abelian groups: An
ordered Abelian group is strong iff it has bounded regular rank and almost
finite dimension. Moreover, we show that any strong ordered Abelian group has
finite Dp-rank.
  We also provide a formula that computes the exact valued of the Dp-rank of
any ordered Abelian group. In particular characterizing those ordered Abelian
groups with Dp-rank equal to $n$. We also show the Dp-rank coincides with the
Vapnik-Chervonenkis density.
