  For $L/K$ a finite Galois extension of number fields, the relative P\'olya
group $\Po(L/K)$ coincides with the group of strongly ambiguous ideal classes
in $L/K$. In this paper, using a well known exact sequence related to
$\Po(L/K)$, in the works of Brumer-Rosen and Zantema, we find short proofs for
some classical results in the literatur. Then we define the ``Ostrowski
quotient'' $\Ost(L/K)$ as the cokernel of the capitulation map into $\Po(L/K)$,
and generalize some known results for $\Po(L/\mathbb{Q})$ to $\Ost(L/K)$.
