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

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arxiv 2208.07782 v1 pith:NDTKTXRV submitted 2022-08-16 math.GR

classification math.GR
keywords classconjugacyfinitegaloisgroupsirreduciblecertaincharacter
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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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