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arxiv: 1803.06691 · v1 · pith:FONOINA3new · submitted 2018-03-18 · 🧮 math.GR

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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