Products of characters and derived length II

Details Products of characters and derived length II Products of characters and derived length II

2004-10-27

arxiv.org/abs/math/0410583v1

Mathematics

Group Theory

To appear Journal of Group Theory

Scientific paper

Let $G$ be a finite solvable group and $\chi, \psi \in \Irr(G)$ be complex
characters of $G$. Let $\alpha$ be an irreducible constituent of the product
$\chi \psi$. We show that the derived length of $\Ker(\alpha)/\Ker(\chi\psi)$
is bounded by a linear function on the number of distinct irreducible
constituents of $\chi\psi$

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