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arXiv · 2510.08221

Finite groups of non-prime-power order with exactly four character codegrees

Yu Zeng·Mehdi Ghaffarzadeh·Mohsen Ghasemi·Dongfang Yang
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Abstract

For an irreducible complex character \(\chi\) of a finite group \(G\), the \emph{codegree} of \(\chi\) is defined as the ratio \(|G : \ker(\chi)| / \chi(1)\), where \(\ker(\chi)\) represents the kernel of \(\chi\). In this paper, we provide a detailed characterization of finite groups of non-prime power order that have exactly four irreducible character co-degrees.

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Yu Zeng, Mehdi Ghaffarzadeh, Mohsen Ghasemi, Dongfang Yang. 2025-10-09. Finite groups of non-prime-power order with exactly four character codegrees. https://arxiv.org/abs/2510.08221

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