%0 Journal Article %T On the dimensions of PIM's %A Conchita Mart¨ªnez-P¨¦rez %A Wolfgang Willems %J Mathematics %D 2012 %I arXiv %X We discuss the structure of finite groups for which the projective indecomposable modules have special given dimensions. In particular, we prove the converse of Fong's dimension formula for $p$-solvable groups. Furthermore, we characterize groups for which all irreducible $p$-Brauer characters have $p$-power degrees. %U http://arxiv.org/abs/1202.5430v1