Finite groups with three composite character degrees.

Let <italic>G</italic> be a finite group and let <italic>cd</italic>(<italic>G</italic>) be the set of all irreducible character degrees of <italic>G</italic>. We consider finite groups <italic>G</italic> with the property that <italic>cd</italic>(<italic>G</italic>) has at most three composite members. We derive a bound 8 for the size of character degree sets of such groups. [ABSTRACT FROM AUTHOR]