4 papers
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…
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…
Groups with few -character degrees in the principal block
Eugenio Giannelli, Noelia Rizo, Benjamin Sambale +1
Let p be a prime larger than 3 and let G be a finite group. We prove that G is p-solvable of p-length at most 2 if there are at most two distinct character degrees relatively prime…
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…