English

On the proportion of vanishing elements in finite groups

Group Theory 2022-05-13 v3

Abstract

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

Keywords

Cite

@article{arxiv.2201.00550,
  title  = {On the proportion of vanishing elements in finite groups},
  author = {Yu Zeng and Dongfang Yang and Silvio Dolfi},
  journal= {arXiv preprint arXiv:2201.00550},
  year   = {2022}
}
R2 v1 2026-06-24T08:38:24.733Z