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arXiv · 2307.08534

Odd-degree rational characters and the order of rational elements in finite groups

N. Grittini
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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.

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N. Grittini. 2023-07-17. Odd-degree rational characters and the order of rational elements in finite groups. https://doi.org/10.1016/j.jalgebra.2024.05.010

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