Methods and questions in character degrees of finite groups

2022/09/19 by Alexander Moretó, Moretó, Alexander · 1 citation
Computer Science · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2209.09221

openalex publication_date 2022/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful to work on these problems. These methods are also useful to solve certain problems on zeros of characters, character kernels and fields of values of characters.

Cited by

• Height zero characters and Galois automorphisms

Related

• Character degree sums of finite groups
• Finite groups with few character values
• A note on polynomials for character degrees
• On the average character degree of finite groups
• On polynomial representations of finite groups