8 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…
Principal blocks for different primes, I
Gabriel Navarro, Noelia Rizo, A. A. Schaeffer Fry
We propose new conjectures about the relationship between the principal blocks of finite groups for different primes and establish evidence for these conjectures.
Kernels of p'-degree irreducible characters
Alexander Moretó, Noelia Rizo
We prove a p'-version of a classical theorem of Broline and Garrison. As a consequence, we obtain results on p-parts of character codegrees.
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…
Galois action on the principal block and cyclic Sylow subgroups
Noelia Rizo, A. A. Schaeffer Fry, Carolina Vallejo
We characterize finite groups having a cyclic Sylow p-subgroup in terms of the action of a specific Galois automorphism on the principal p-block for p=2,3. We show that the analog…
Groups with few -character degrees
Eugenio Giannelli, Noelia Rizo, Mandi Schaeffer Fry
We prove a variation of Thompson's Theorem. Namely, if the first column of the character table of a finite group contains only two distinct values not divisible by a given prim…