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Sum of the squares of
the $p'$-character degrees
Nguyen N. Hung, J. Miquel Martínez and Gabriel Navarro |
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Vol. 342 (2026), No. 2, 351–380
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Abstract |
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We study the sum of the squares of the irreducible character degrees not divisible by some prime of a finite group, and its relationship with the corresponding quantity in a -Sylow normalizer. This led us to study a recent conjecture by E. Giannelli, which we prove for and in some other cases. |
Keywords
character degree, Sylow normalizer, McKay conjecture
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Mathematical Subject Classification
Primary: 20D20, 20C15
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Milestones
Received: 3 June 2025
Revised: 5 March 2026
Accepted: 9 March 2026
Published: 23 April 2026
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Authors |
| Nguyen N. Hung | |
| Department of Mathematics The University of Akron Akron, OH United States |
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| J. Miquel Martínez | |
| Departament de Matemàtiques Universitat de Valéncia Burjassot, Valencia Spain |
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| Gabriel Navarro | |
| Departament de Matemàtiques Universitat de Valéncia Burjassot, Valencia Spain |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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