Alexander Moretó

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math.RT2026

The Main Problem of Block Theory: Picky Elements and Subnormalizers

Alexander MoretÃ³

This article is essentially an English translation of a paper of mine, published in \emph{La Gaceta de la RSME}. Its aim is to present, for a broad mathematical audience, a researc…

math.RT2025

Height zero characters and Galois automorphisms

Alexander MoretÃ³, Noelia Rizo, Gabriel A. L. Souza

Let $G$ be a finite group and let $p$ be a prime. In this paper, we prove a strengthened version of Brauer's height zero conjecture for the principal $p$ -block of $G$ that takes th…

math.RT2025

Character Values of $p$ -solvable groups on picky elements

Alexander MoretÃ³, Gabriel Navarro, Noelia Rizo

A new conjecture on characters of finite groups, related to the McKay conjecture, was proposed recently by the first and third authors. In this paper, we prove it for $p$ -solvable…

The Main Problem of Block Theory: Picky Elements and Subnormalizers

Height zero characters and Galois automorphisms

Character Values of p-solvable groups on picky elements

Character Values of $p$ -solvable groups on picky elements