Derived Lengths of Solvable Groups Having Five Irreducible Character Degrees II

by Lewis, Mark L.

Let G be a solvable group with five character degrees. Suppose that there is some prime p so that G/

p
(G) is not Abelian. Also, assume that cd(G) contains a degree that is not divisible by p. Under these hypotheses, we show that the derived length of G is at most 4.

DOI: 10.1023/A:1016535504003
Print publication date: 8/1/2002
View article on SpringerLink

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