On the Absence of a Normal Nonabelian Sylow Subgroup

Mark W. Bissler; Jacob Laubacher; Corey F. Lyons

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arXiv · 1803.06691

On the Absence of a Normal Nonabelian Sylow Subgroup

Mark W. Bissler·Jacob Laubacher·Corey F. Lyons

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Abstract

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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Mark W. Bissler, Jacob Laubacher, Corey F. Lyons. 2018-03-18. On the Absence of a Normal Nonabelian Sylow Subgroup. https://arxiv.org/abs/1803.06691

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