On the Absence of a Normal Nonabelian Sylow Subgroup
classification
🧮 math.GR
keywords
nonabeliannormalsubgroupsylowabsencecharacterdegreedelta
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Let $G$ be a finite solvable group. We show that $G$ does not have a normal nonabelian Sylow $p$-subgroup when its prime character degree graph $\Delta(G)$ satisfies a technical hypothesis.
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