Products of characters and derived length II

Edith Adan-Bante

Products of characters and derived length II

Group Theory 2007-05-23 v1

Authors: Edith Adan-Bante

Abstract

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 $\chi\psi$

Keywords

finite solvable groups complex characters character products irreducible constituents derived length

Cite

@article{arxiv.math/0410583,
  title  = {Products of characters and derived length II},
  author = {Edith Adan-Bante},
  journal= {arXiv preprint arXiv:math/0410583},
  year   = {2007}
}

Comments

To appear Journal of Group Theory

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