Derived Lengths of Solvable Groups Having Five Irreducible Character Degrees I

by Lewis, Mark L.

Let G be a solvable group with five character degrees. We show that the derived length of G is at most 5. This verifies that the Taketa inequality, dl(G)≤|cd(G)|, is valid for solvable groups with at most five character degrees.

DOI: 10.1023/A:1012706718244
Print publication date: 12/1/2001
View article on SpringerLink

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