Irreducible induction and nilpotent subgroups in finite groups
classification
🧮 math.RT
keywords
nilpotentcharacterfiniteirreduciblesubgroupfittinggeneralizedgroup
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Suppose that $G$ is a finite group and $H$ is a nilpotent subgroup of $G$. If a character of $H$ induces an irreducible character of $G$, then the generalized Fitting subgroup of $G$ is nilpotent.
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