Products of characters and finite p-groups II

Details Products of characters and finite p-groups II Products of characters and finite p-groups II

2003-04-25

arxiv.org/abs/math/0304401v1

Mathematics

Group Theory

Submitted, 8 pages, see http://www.math.uiuc.edu/~adanbant

Scientific paper

Let p be a prime number. Let G be a finite p-group and $\chi \in Irr(G)$.
Denote by $\bar{\chi} \in Irr(G)$ the complex conjugate of $\chi$. Assume that
$\chi(1)=p^n$. We show that the number of distinct irreducible constituents of
the product $\chi\bar{\chi}$ is at least $2n(p-1)+1$.

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