Products of characters and derived length II

2004/10/27 by Edith Adan-Bante, Adan-Bante, Edith
Computer Science · Engineering · Mathematics · #20c #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems #math.GR #msc:20c

paper · pdf · doi:10.48550/arxiv.math/0410583

To appear Journal of Group Theory

arxiv created 2004/10/27 · openalex publication_date 2004/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite solvable group and χ, ψ∈ \Irr(G) be complex characters of G. Let α be an irreducible constituent of the product χψ. We show that the derived length of \Ker(α)/\Ker(χψ) is bounded by a linear function on the number of distinct irreducible constituents of χψ

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