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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2412.13926 |
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| _version_ | 1866909433070616576 |
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| author | Zarezadeh, Ashkan Khosravi, Behrooz Akhlaghi, Zeinab |
| author_facet | Zarezadeh, Ashkan Khosravi, Behrooz Akhlaghi, Zeinab |
| contents | Given a finite group G with an irreducible character χ\in Irr(G), the codegree of χis defined by cod(χ) = |G :\ker χ|/χ(1). The set of non-linear irreducible character codegrees of G is denoted by cod(G|G'). In this note, we classify all finite groups G with |cod(G|G')|> 1 and for each pair of distinct elements m, n \in cod(G|G'), m and n are coprime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_13926 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finite groups with coprime non-linear codegrees Zarezadeh, Ashkan Khosravi, Behrooz Akhlaghi, Zeinab Group Theory 05C25, 05C69, 94B25 Given a finite group G with an irreducible character χ\in Irr(G), the codegree of χis defined by cod(χ) = |G :\ker χ|/χ(1). The set of non-linear irreducible character codegrees of G is denoted by cod(G|G'). In this note, we classify all finite groups G with |cod(G|G')|> 1 and for each pair of distinct elements m, n \in cod(G|G'), m and n are coprime. |
| title | Finite groups with coprime non-linear codegrees |
| topic | Group Theory 05C25, 05C69, 94B25 |
| url | https://arxiv.org/abs/2412.13926 |