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arXiv · 1506.07148

Fitting heights of solvable groups with no nontrivial prime power character degrees

Mark L. Lewis
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Abstract

We construct solvable groups where the only degree of an irreducible character that is a prime power is $1$ and that have arbitrarily large Fitting heights. We will show that we can construct such groups that also have a Sylow tower. We also will show that we can construct such groups using only three primes.

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Mark L. Lewis. 2015-06-23. Fitting heights of solvable groups with no nontrivial prime power character degrees. https://arxiv.org/abs/1506.07148

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