Sylow branching coefficients and a conjecture of Malle and Navarro

We prove that a finite group G$G$ has a normal Sylow p$p$‐subgroup P$P$ if, and only if, every irreducible character of G$G$ appearing in the permutation character (1P)G$({\bf 1}_P)^G$ with multiplicity coprime to p$p$ has degree coprime to p$p$. This confirms a prediction by Malle and Navarro from...

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Veröffentlicht in:	The Bulletin of the London Mathematical Society 2022-04, Vol.54 (2), p.552-567
Hauptverfasser:	Giannelli, Eugenio, Law, Stacey, Long, Jason, Vallejo, Carolina
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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