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math.RT2025
Height zero characters and Galois automorphisms
Alexander Moretó, Noelia Rizo, Gabriel A. L. Souza
Let be a finite group and let be a prime. In this paper, we prove a strengthened version of Brauer's height zero conjecture for the principal -block of that takes th…
math.RT2025
Character Values of -solvable groups on picky elements
Alexander Moretó, Gabriel Navarro, Noelia Rizo
A new conjecture on characters of finite groups, related to the McKay conjecture, was proposed recently by the first and third authors. In this paper, we prove it for -solvable…
math.RT2024
Decomposition numbers in the principal block and Sylow normalisers
Gunter Malle, Noelia Rizo
If G is a finite group and p is a prime number, we investigate the relationship between the p-modular decomposition numbers of characters of height zero in the principal p-block of…