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arXiv · 1902.09617

Irreducible induction and nilpotent subgroups in finite groups

Zoltan Halasi·Attila Maroti·Gabriel Navarro·Pham Huu Tiep
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Abstract

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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Zoltan Halasi, Attila Maroti, Gabriel Navarro, Pham Huu Tiep. 2019-02-25. Irreducible induction and nilpotent subgroups in finite groups. https://arxiv.org/abs/1902.09617

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