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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…
math.GR2024
Characters and Sylow -subgroup abelianization
Eugenio Giannelli, Noelia Rizo, A. A. Schaeffer Fry +1
We characterize when a finite group G possesses a Sylow 3-subgroup P with abelianization of order 9 in terms of the number of height zero characters lying in the principal 3-block…