3 papers
math.RT2026
Subnormalizers and character correspondences in -solvable groups
Gabriel A. L. Souza
A new family of local-global conjectures in the representation theory of finite groups has recently been proposed by Moretó. We show that one of the strongest of these conjectures,…
math.RT2025
Height zero characters and Galois automorphisms
Alexander Moretó, Noelia Rizo, Gabriel A. L. Souza
Let be a finite group and let be a prime. In this paper, we prove a strengthened version of Brauer's height zero conjecture for the principal -block of that takes th…
math.GR2024
On groups with at most five irrational conjugacy classes
Gabriel A. L. Souza
Much work has been done to study groups with few rational conjugacy classes or few rational irreducible characters. In this paper we look at the opposite extreme. Let be a fini…