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

Riad Youmbai; Gang Chen

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arXiv · 2305.18574

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

Riad Youmbai·Gang Chen

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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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Riad Youmbai, Gang Chen. 2023-05-29. On the number of primitive and quasi-primitive irreducible characters in finite groups. https://arxiv.org/abs/2305.18574

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