18 citations · 84 across the 39 of their papers we have counts for
6 papers · 1 filter
Height Zero Conjecture with Galois Automorphisms
Gunter Malle, Gabriel Navarro
We prove a strengthening of Brauer's height zero conjecture for principal 2-blocks with Galois automorphisms. This requires a new extension of the Itô--Michler theorem for the prim…
Brauer's Height Zero Conjecture
Gunter Malle, Gabriel Navarro, Amanda A. Schaeffer Fry +1
We complete the proof of Brauer's Height Zero Conjecture from 1955 by establishing the open implication for all odd primes.
Skew differential Goppa codes and their application to McEliece cryptosystem
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro
A class of linear codes that extends classic Goppa codes to a non-commutative context is defined. An efficient decoding algorithm, based on the solution of a non-commutative key eq…
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.
Characters, Commutators and Centers of Sylow Subgroups
Gabriel Navarro, Benjamin Sambale
The character table of a finite group G determines whether |P:P'|=p^2 and whether |P:Z(P)|=p^2, where P is a Sylow p-subgroup of G. To prove the latter, we give a detailed classifi…