Abstract
Let G be a finite group and denote the set of complex irreducible character degrees of G. In this paper, we prove that if G is a finite group and H is an almost simple group with socle , where with odd such that , then G is non-solvable and the chief factor of G is isomorphic to H 0. If, in particular, f is coprime to 3, then is isomorphic to H 0 and is isomorphic to H.
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