In finite q-solvable groups, the p′-degree irreducible characters are all q′-degree exactly when some Sylow p-subgroup lies inside the normalizer of a Sylow q-subgroup and the derived subgroup of that Sylow q-subgroup is centralized by P.
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Character degrees and local subgroups revisited
In finite q-solvable groups, the p′-degree irreducible characters are all q′-degree exactly when some Sylow p-subgroup lies inside the normalizer of a Sylow q-subgroup and the derived subgroup of that Sylow q-subgroup is centralized by P.