Heights of characters in blocks of p-solvable groups

In this paper, it is proved that if B is a Brauer p-block of a p-solvable group, for some odd prime p, then the height of any ordinary character in B is at most 2b, where p(b) is the largest degree of the irreducible characters of the defect group of B. Some other results that relate the heights of characters with properties of the defect group are obtained.