Group elements whose character values are roots of unity

authored by

Mark L. Lewis, Lucia Morotti, Hung P. Tong-Viet

Abstract

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

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

Type

Preprint

Publication date

08.03.2023

Publication status

E-pub ahead of print

Electronic version(s)

https://doi.org/10.48550/arXiv.2209.08089 (Access: Open)
https://doi.org/10.1007/s10013-023-00611-9 (Access: Open)