Short character values on large conjugacy classes

2024/11/28 by Alexander R. Miller, Miller, Alexander R. · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2411.19283

openalex publication_date 2024/11/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an example of a finite group with a conjugacy class of average size on which fewer than half of the irreducible characters are either zero or a root of unity.

Cited by

• A counterexample to a conjecture of A. R. Miller

Related

• Zeros and roots of unity in character tables
• The influence of conjugacy class sizes on the structure of finite groups: a survey
• On vanishing class sizes in finite groups
• Finite groups with few character values
• On vanishing criteria that control finite group structure