Mathematics – Group Theory
Scientific paper
2003-04-25
Mathematics
Group Theory
12 pages, to appear J. Algebra
Scientific paper
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.
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