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arXiv · 1309.0173

On the average character degree of finite groups

Alexander Moretó·Hung Ngoc Nguyen
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Abstract

We prove that if the average of the degrees of the irreducible characters of a finite group $G$ is less than 16/5, then $G$ is solvable. This solves a conjecture of I.M. Isaacs, M. Loukaki, and the first author. We discuss related questions.

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Alexander Moretó, Hung Ngoc Nguyen. 2013-12-05. On the average character degree of finite groups. https://arxiv.org/abs/1309.0173

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