On the Absence of a Normal Nonabelian Sylow Subgroup

2018/03/18 by Bissler, Mark W., Laubacher, Jacob, Lyons, Corey F.
#20D10 (Primary) #20D20 (Secondary) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1803.06691

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 Δ(G) satisfies a technical hypothesis.

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