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Showing 2015 · math.GRShow all
3 papers · 2 filters
math.GR2015
Fitting heights of solvable groups with no nontrivial prime power character degrees
Mark L. Lewis
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 ca…
math.GR2015
Finite groups with an irreducible character of large degree
Nguyen Ngoc Hung, Mark L. Lewis, Amanda A. Schaeffer Fry
Let be a finite group and the degree of a complex irreducible character of , then write where is a nonnegative integer. We prove that …
math.GR2015
The character degree ratio and composition factors of a finite group
Mark L. Lewis, Hung Ngoc Nguyen
For a finite non-abelian group let $\rat(G)$ denote the largest ratio of degrees of two nonlinear irreducible characters of . We prove that the number of non-abelian composi…