On the dimensions of PIM's

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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. © de Gruyter 2013.

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Martínez-Pérez, C., & Willems, W. (2013). On the dimensions of PIM’s. Journal of Group Theory, 16(3), 397–417. https://doi.org/10.1515/jgt-2012-0046

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