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arXiv · 1502.07034

The character degree ratio and composition factors of a finite group

Mark L. Lewis·Hung Ngoc Nguyen
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Abstract

For a finite non-abelian group $G$ let $\rat(G)$ denote the largest ratio of degrees of two nonlinear irreducible characters of $G$. We prove that the number of non-abelian composition factors of $G$ is bounded above by $1.8\ln(\rat(G))+1.3$.

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Mark L. Lewis, Hung Ngoc Nguyen. 2015-02-25. The character degree ratio and composition factors of a finite group. https://arxiv.org/abs/1502.07034

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