Denseness results for zeros and roots of unity in character tables

2025/07/20 by Miller, Alexander R. · 1 citation
#FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2507.15153

Abstract

For any irreducible character χ of a finite group G, let θ(χ) denote the proportion of elements g∈ G for which χ(g) is either zero or a root of unity. Then for any L∈[1/2,1] and any ε>0, there exists an irreducible character χ of a finite group such that |θ(χ)-L|<ε.

Citations

• Zeros and roots of unity in character tables

Cited by

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

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