A characterization of finite groups by certain Galois conjugacy class of irreducible characters

Yu Zeng; Dongfang Yang

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arXiv · 2208.07782

A characterization of finite groups by certain Galois conjugacy class of irreducible characters

Yu Zeng·Dongfang Yang

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Abstract

We classify the finite groups $G$ which satisfies the condition that every complex irreducible character,whose degree's square doesn't divide the index of its kernel in $G$, lies in the same Galois conjugacy class.

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Yu Zeng, Dongfang Yang. 2022-08-16. A characterization of finite groups by certain Galois conjugacy class of irreducible characters. https://arxiv.org/abs/2208.07782

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