18 citations · 84 across the 39 of their papers we have counts for
25 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.
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…
Alternating sums over pi-subgroups
Gabriel Navarro, Benjamin Sambale
Dade's conjecture predicts that if p is a prime, then the number of irreducible characters of a finite group of a given p-defect is determined by local subgroups. In this paper we…
Brauer's Height Zero Conjecture for Principal Blocks
Gunter Malle, Gabriel Navarro
We prove \emph{the other half} of Brauer's Height Zero Conjecture in the case of principal blocks.
A reduction theorem for the Galois-McKay conjecture
Gabriel Navarro, Britta Späth, Carolina Vallejo
We generalize the theory of ordering character triples, developed by Navarro and Späth, by taking into account the action of Galois automorphisms on characters. This new technique,…