Preprint series: 12-04, Preprints
- 20C20 Modular representations and characters
- 20C05 Group rings of finite groups and their modules
- 20C30 Representations of finite symmetric groups
- 20C33 Representations of finite groups of Lie type
Abstract: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.
Keywords:character degrees, indecomposable modules, p-solvable groups