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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.08221 |
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| _version_ | 1866918157533315072 |
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| author | Zeng, Yu Ghaffarzadeh, Mehdi Ghasemi, Mohsen Yang, Dongfang |
| author_facet | Zeng, Yu Ghaffarzadeh, Mehdi Ghasemi, Mohsen Yang, Dongfang |
| contents | For an irreducible complex character \(χ\) of a finite group \(G\), the \emph{codegree} of \(χ\) is defined as the ratio \(|G : \ker(χ)| / χ(1)\), where \(\ker(χ)\) represents the kernel of \(χ\). In this paper, we provide a detailed characterization of finite groups of non-prime power order that have exactly four irreducible character co-degrees. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08221 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finite groups of non-prime-power order with exactly four character codegrees Zeng, Yu Ghaffarzadeh, Mehdi Ghasemi, Mohsen Yang, Dongfang Group Theory For an irreducible complex character \(χ\) of a finite group \(G\), the \emph{codegree} of \(χ\) is defined as the ratio \(|G : \ker(χ)| / χ(1)\), where \(\ker(χ)\) represents the kernel of \(χ\). In this paper, we provide a detailed characterization of finite groups of non-prime power order that have exactly four irreducible character co-degrees. |
| title | Finite groups of non-prime-power order with exactly four character codegrees |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.08221 |