Products of characters and derived length

Edith Adan-Bante

Products of characters and derived length

Group Theory 2007-05-23 v1

Authors: Edith Adan-Bante

Abstract

Let G be a finite solvable group and $\chi\in \Irr(G)$ be a faithful character. We show that the derived length of G is bounded by a linear function of the number of distinct irreducible constituents of $\chi\bar{\chi}$ . We also discuss other properties of the decomposition of $\chi\bar{\chi}$ into its irreducible constituents.

Keywords

character theory character theory of finite groups

Cite

@article{arxiv.math/0304413,
  title  = {Products of characters and derived length},
  author = {Edith Adan-Bante},
  journal= {arXiv preprint arXiv:math/0304413},
  year   = {2007}
}

Comments

12 pages, to appear J. Algebra

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