  We study the entanglement properties of a higher-integer-spin
Affleck-Kennedy-Lieb-Tasaki model with quantum group symmetry in the periodic
boundary condition. We exactly calculate the finite size correction terms of
the entanglement entropies from the double scaling limit. We also evaluate the
geometric entanglement, which serves as another measure for entanglement. We
find the geometric entanglement reaches its maximum at the isotropic point, and
decreases with the increase of the anisotropy. This behavior is similar to that
of the entanglement entropies.
