ON ISAACS 3 CHARACTER DEGREES THEOREM

Isaacs has proved that a finite group G is solvable whenever there are at most three characters of pairwise distinct degrees in Irr(G) (Isaa cs' three character degrees theorem). In this note, using Isaacs' resu lt and the classification of the finite simple groups, we prove the so lvability of G whenever Irr(G) contains at most three monolithic chara cters of pairwise distinct degrees. 2 contains some additional results about monolithic characters.