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Products of characters and derived length II

Edith Adan-Bante
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Abstract

Let $G$ be a finite solvable group and $χ, ψ\in \Irr(G)$ 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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Edith Adan-Bante. 2004-10-27. Products of characters and derived length II. https://arxiv.org/abs/math/0410583

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