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arXiv · 2309.05796

On the degrees of irreducible characters fixed by some field automorphism in finite groups

N. Grittini
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Abstract

We prove a variant of the Theorem of Ito-Michler, investigating the properties of finite groups where a prime number $p$ does not divide the degree of any irreducible character left invariant by some Galois automorphism $\sigma$ of order $p$.

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N. Grittini. 2023-09-11. On the degrees of irreducible characters fixed by some field automorphism in finite groups. https://arxiv.org/abs/2309.05796

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