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arXiv · 2505.21267

Sum of the squares of the $p'$-character degrees

Nguyen N. Hung·J. Miquel Martínez·Gabriel Navarro
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Abstract

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.

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Nguyen N. Hung, J. Miquel Martínez, Gabriel Navarro. 2025-05-27. Sum of the squares of the $p'$-character degrees. https://doi.org/10.2140/pjm.2026.342.351

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