Work

The continuity of 𝑝-rationality of characters and the principal block

Year: 2025

Type: article

Abstract: We study rationality properties of irreducible characters of finite groups. We show that the continuity of 2 2 -rationality is a phenomenon that can be detected in the principal 2 2 -block, thus refining a recent result of N. N. Hung. We also propose a conjectural group theoretical criterion for the continuity gap at level 1 1 for all primes.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17395

Authors: Gunter Malle, J. Martínez, Carolina Vallejo

Institutions: University of Kaiserslautern, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau, Universitat de València, University of Florence

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Deutsche Forschungsgemeinschaft, Ministero dell’Istruzione, dell’Università e della Ricerca, Ministerio de Ciencia e Innovación, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni