On the dimensions of PIM's
classification
🧮 math.GR
keywords
groupsdimensionsbrauercharacterizecharactersconversedegreesdimension
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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.
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