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

2023/05/29 by Riad Youmbai, Gang Chen, Youmbai, Riad +1
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2305.18574

openalex publication_date 2023/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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