Codegrees of Irreducible Characters of VZ and Camina $p$-Groups
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866917528863768576 |
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| author | Udeep, Ayush |
| author_facet | Udeep, Ayush |
| contents | The character codegree of an irreducible character of a finite group $G$ is given by the index of its kernel in $G$ upon the character degree. We compute the codegrees of irreducible characters of VZ and Camina $p$-groups, and also obtain the character codegrees set of $p$-groups of order $\leq p^5$, where $p$ is an odd prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24864 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Codegrees of Irreducible Characters of VZ and Camina $p$-Groups Udeep, Ayush Group Theory Representation Theory 20D15, 20C15, 20B05 The character codegree of an irreducible character of a finite group $G$ is given by the index of its kernel in $G$ upon the character degree. We compute the codegrees of irreducible characters of VZ and Camina $p$-groups, and also obtain the character codegrees set of $p$-groups of order $\leq p^5$, where $p$ is an odd prime. |
| title | Codegrees of Irreducible Characters of VZ and Camina $p$-Groups |
| topic | Group Theory Representation Theory 20D15, 20C15, 20B05 |
| url | https://arxiv.org/abs/2605.24864 |