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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 Δ(G) satisfies a technical hypothesis. Δ(G)">
Taylor & Francis
character degree graphs, finite solvable groups, normal nonabelian subgroup
Bisslier, Mark W.; Laubacher, Jacob; and Lyons, Corey F., "On the absence of a normal nonabelian Sylow subgroup" (2018). Faculty Creative and Scholarly Works. 23.