Abstract
AbstractLet G be a finite group and N be a non‐trivial normal subgroup of G, such that the average degree of irreducible characters in is less than or equal to 16/5. Then, we prove that N is solvable. Also, we prove the solvability of G, by assuming that the average degree of irreducible characters in is strictly less than 16/5. We show that the bounds are sharp.
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