Groups with 2-generated Sylow subgroups and their character tables

Let G be a finite group with Sylow p-subgroup P. We show that the character table of G determines whether P has maximal nilpotency class and whether P is a minimal non-abelian group. The latter result is obtained from a precise classification of the corresponding groups G in terms of their compositi...

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Veröffentlicht in:	arXiv.org 2022-05
Hauptverfasser:	Moretó, Alexander, Sambale, Benjamin
Format:	Artikel
Sprache:	eng
Schlagworte:	Group theory Mathematics - Group Theory Mathematics - Representation Theory Subgroups
Online-Zugang:	Volltext
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