Sum of the squares of the $p'$-character degrees
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915963479261184 |
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| author | Hung, Nguyen N. Martínez, J. Miquel Navarro, Gabriel |
| author_facet | Hung, Nguyen N. Martínez, J. Miquel Navarro, Gabriel |
| contents | We study the sum of the squares of the irreducible character degrees not divisible by some prime $p$, and its relationship with the the corresponding quantity in a $p$-Sylow normalizer. This leads to study a recent conjecture by E. Giannelli, which we prove for $p=2$ and in some other cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21267 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sum of the squares of the $p'$-character degrees Hung, Nguyen N. Martínez, J. Miquel Navarro, Gabriel Group Theory Representation Theory 20D20, 20C15 We study the sum of the squares of the irreducible character degrees not divisible by some prime $p$, and its relationship with the the corresponding quantity in a $p$-Sylow normalizer. This leads to study a recent conjecture by E. Giannelli, which we prove for $p=2$ and in some other cases. |
| title | Sum of the squares of the $p'$-character degrees |
| topic | Group Theory Representation Theory 20D20, 20C15 |
| url | https://arxiv.org/abs/2505.21267 |