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math.GR2022
Principal blocks for different primes, II
Gabriel Navarro, Noelia Rizo, A. A. Schaeffer Fry
If G is a finite group, we have proposed new conjectures on the interaction between different primes and their corresponding Brauer principal blocks. In this paper, we give strong…
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.GR2019
On the number of irreducible real-valued characters of a finite group
Nguyen Ngoc Hung, A. A. Schaeffer Fry, Hung P. Tong-Viet +1
We prove that there exists an integer-valued function f on positive integers such that if a finite group G has at most k real-valued irreducible characters, then |G/Sol(G)| is at m…