  Let p be a prime, B a p-block of a finite group G and b its Brauer
correspondent. According to the Alperin-McKay Conjecture, there exists a
bijection between the set of irreducible ordinary characters of height zero of
B and those of b. In this paper, we show that whenever G is p-solvable such a
bijection can be found, both for ordinary and Brauer characters, with the
additional property of being compatible with divisibility of character degrees.
In this case, we also show that the dimension of b divides the dimension of B.
