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arXiv · 2201.00550

On the proportion of vanishing elements in finite groups

Yu Zeng·Dongfang Yang·Silvio Dolfi
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Abstract

We prove that the function $\mathrm{P}_{\mathrm{v}}(G)$, measuring the proportion of the elements of a finite group $G$ that are zeros of irreducible characters of $G$, takes very sparse values in a large segment of the $[0,1]$ interval.

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Yu Zeng, Dongfang Yang, Silvio Dolfi. 2022-01-03. On the proportion of vanishing elements in finite groups. https://arxiv.org/abs/2201.00550

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