  We compute the ground-state electric dipole polarizability of group-IIIA ions
using the perturbed relativistic coupled-cluster (PRCC) theory. To account for
the relativistic effects and QED corrections, we use the Dirac-Coulomb-Breit
Hamiltonian with the corrections from the Uehling potential and the
self-energy. The effects of triple excitations are considered perturbatively in
the PRCC. Our PRCC results for $\alpha$ are good in agreement with the previous
theoretical results for all the ions. From our computations we find that the
nonlinear terms in PRCC have significant contributions and must be included to
obtain the accurate value of $\alpha$ for group-IIIA ions. For the correction
from the Breit interaction, we find that it is largest for Al$^+$ and decreases
as we go towards the heavier ions. The corrections from the vacuum polarization
and the self-energy increase from lighter to heavier ions.
