English

Group elements whose character values are roots of unity

Group Theory 2022-09-19 v1

Abstract

We classify all finite groups GG which possesses an element xGx\in G such that every irreducible character of GG takes a root of unity value at xx.

Keywords

Cite

@article{arxiv.2209.08089,
  title  = {Group elements whose character values are roots of unity},
  author = {Mark L. Lewis and Lucia Morotti and Hung P. Tong-Viet},
  journal= {arXiv preprint arXiv:2209.08089},
  year   = {2022}
}
R2 v1 2026-06-28T01:28:17.979Z