Sum of the squares of the p′-characterdegrees
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.
Authors
- Hung Ngoc Nguyen (ORCID: https://orcid.org/0000-0002-5950-6271)
- Gabriel Navarro (ORCID: https://orcid.org/0000-0002-5632-7382)
- Jorge Martínez (ORCID: https://orcid.org/0000-0001-8529-5693)
Publication Details
- Journal
- Pacific Journal of Mathematics
- Published
- 2026-04-23
- DOI
- https://doi.org/10.2140/pjm.2026.342.351
- Primary Topic
- Digital Image Processing Techniques
- Type
- article
- Field-Weighted Citation Impact
- 0.00