Groups with small multiplicities of fields of values of irreducible characters

2022/05/05 by Juan José Prieto Martínez, Martínez, Juan · 1 citation
Computer Science · Engineering · Mathematics · #20C15 (Primary) #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2205.02578

openalex publication_date 2022/05/05 · openalex created_date 2022/05/08 · openalex updated_date 2026/07/28

Abstract

In this work, we classify all finite groups such that for every field extension F of ℚ, F is the field of values of at most 3 irreducible characters.

Cited by

• Multiplicities of fields of values of conjugacy classes in finite groups

Related

• The Field of Values of the Height Zero Characters
• Short character values on large conjugacy classes
• On the definition of almost characters
• Principal blocks, irreducible restriction, fields and degrees
• Irreducible Characters for Algebraic Groups in Characteristic Three