Irreducible Induction and Nilpotent subgroups in finite groups

Halasi, Zoltán and Maróti, Attila and Navarro, Gabriel and Tiep, Pham Huu (2019) Irreducible Induction and Nilpotent subgroups in finite groups. JOURNAL OF ALGEBRA. ISSN 0021-8693 (In Press)

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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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