On the dimensions of PIM's

Published 24 Feb 2012 in math.GR | (1202.5430v1)

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.

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