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Products of characters and finite p-groups II

Edith Adan-Bante
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Abstract

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

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Edith Adan-Bante. 2003-04-25. Products of characters and finite p-groups II. https://arxiv.org/abs/math/0304401

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