Fitting heights of solvable groups with no nontrivial prime power character degrees
Group Theory
2015-06-24 v1
Abstract
We construct solvable groups where the only degree of an irreducible character that is a prime power is 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.
Keywords
Cite
@article{arxiv.1506.07148,
title = {Fitting heights of solvable groups with no nontrivial prime power character degrees},
author = {Mark L. Lewis},
journal= {arXiv preprint arXiv:1506.07148},
year = {2015}
}
Comments
6 pages