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On the number of primitive and quasi-primitive irreducible characters in finite groups

Published 29 May 2023 in math.GR | (2305.18574v2)

Abstract: In this short note, it is proved that both the number of primitive characters and the number of quasi-primitive characters in a finite group $G$ is divisible by $|G:G'|$, where $G'$ is the derived subgroup of $G$.

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