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math.GR2021
Character degrees in blocks and defect groups
Eugenio Giannelli, J. Miquel Martínez, A. A. Schaeffer Fry
A recent question of Gabriel Navarro asks whether it is true that the derived length of a defect group is less than or equal to the number of degrees of irreducible characters in a…
math.RT2021
Sylow branching coefficients and a conjecture of Malle and Navarro
Eugenio Giannelli, Stacey Law, Jason Long +1
We prove that a finite group has a normal Sylow -subgroup if, and only if, every irreducible character of appearing in the permutation character with…