Derived Lengths of Solvable Groups Having Five Irreducible Character Degrees II |
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| Authors: | Mark L Lewis |
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| Institution: | (1) Department of Mathematics and Computer Science, Kent State University, Kent, OH, 44242, U.S.A |
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| Abstract: | Let G be a solvable group with five character degrees. Suppose that there is some prime p so that G/O
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. |
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| Keywords: | solvable groups derived lengths character degrees Taketa inequality |
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