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

2024/12/20 by Gunter Malle, Malle, Gunter, Jorge Martínez +3 · 1 citation
Decision Sciences · Computer Science · #Fuzzy and Soft Set Theory #Advanced Algebra and Logic #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2412.16128

Abstract

We study rationality properties of irreducible characters of finite groups. We show that the continuity of 2-rationality is a phenomenon that can be detected in the principal 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 for all primes

Cited by

• The Isaacs--Navarro Galois conjecture

Related

• The continuity of p-rationality and a lower bound for p'-degree characters of finite groups
• A group-theoretic condition equivalent to a condition on principal blocks
• The p-rationality of height-zero characters
• On almost p-rational characters in principal blocks
• Principal blocks, irreducible restriction, fields and degrees