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arXiv · 2507.15153

Denseness results for zeros and roots of unity in character tables

Alexander R. Miller
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Abstract

For any irreducible character $χ$ of a finite group $G$, let $θ(χ)$ denote the proportion of elements $g\in G$ for which $χ(g)$ is either zero or a root of unity. Then for any $L\in[1/2,1]$ and any $ε>0$, there exists an irreducible character $χ$ of a finite group such that $|θ(χ)-L|<ε$.

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Alexander R. Miller. 2025-07-20. Denseness results for zeros and roots of unity in character tables. https://arxiv.org/abs/2507.15153

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