3 papers
math.RT2026
The Main Problem of Block Theory: Picky Elements and Subnormalizers
Alexander Moretó
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.GR2025
Covering the set of -elements in finite groups by Sylow -subgroups
Attila Maróti, Juan Martínez, Alexander Moretó
Let be the set of -elements of a finite group . Do we need all the Sylow -subgroups of to cover ? Although this question does not have an affirmative answer…
math.RT2025
Character Values of -solvable groups on picky elements
Alexander Moretó, 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 -solvable…