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|Paper IPM / M / 16883||
Let ðº be a finite group and ð be a non-trivial normal subgroup of ðº, such that the
average degree of irreducible characters in Irr.ðº - ð/ is less than or equal to 16â5.
Then we prove that ð is solvable. Also, we prove the solvability of ðº, by assuming
that the average degree of irreducible characters in Irr.ðº - ð/ is strictly less than
16â5. We show that the bounds are sharp.
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