有限群中某些域自同构所固定的不可约字符的度

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2024-11-20 DOI:10.1112/blms.13186

Nicola Grittini

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引用次数: 0

摘要

我们证明了itto - michler定理的一个变体，研究了素数p$ p$不被p$ p$阶伽罗瓦自同构的任意不可约特征的度所除的有限群的性质。

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

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 of order $p$ .

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