Alexander Moretó

collaborators

4 papers

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.GR2025

Covering the set of $p$ -elements in finite groups by Sylow $p$ -subgroups

Attila MarÃ³ti, Juan MartÃnez, Alexander MoretÃ³

Let $G_{p}$ be the set of $p$ -elements of a finite group $G$ . Do we need all the Sylow $p$ -subgroups of $G$ to cover $G_{p}$ ? Although this question does not have an affirmative answer…

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

Covering the set of p-elements in finite groups by Sylow p-subgroups

Character Values of p-solvable groups on picky elements

Covering the set of $p$ -elements in finite groups by Sylow $p$ -subgroups

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