  We show that the lower bounds for Betti numbers given in math.GT/9909161 are
equalities for a class of racks that includes dihedral and Alexander racks. We
confirm a conjecture from the same paper by defining a splitting for the short
exact sequence of quandle chain complexes. We define isomorphisms between
Alexander racks of certain forms, and we also list the second and third
homology groups of some dihedral and Alexander quandles.
