On the dimensions of PIM's

Details On the dimensions of PIM's On the dimensions of PIM's

2012-02-24

arxiv.org/abs/1202.5430v1

Mathematics

Group Theory

17 pages

Scientific paper

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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