Odd-degree rational characters and the order of rational elements in finite groups
Group Theory
2024-05-24 v2
Abstract
We prove that, in a finite group, if every rational irreducible character has odd degree, then all rational elements are 2-elements, as it was originally conjectured by Tiep and Tong-Viet.
Keywords
Cite
@article{arxiv.2307.08534,
title = {Odd-degree rational characters and the order of rational elements in finite groups},
author = {N. Grittini},
journal= {arXiv preprint arXiv:2307.08534},
year = {2024}
}