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arXiv · 2201.08274

On the number of constituents of products of characters

M. Loukaki·A. Moretó
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Abstract

It has been conjectured that if the number of distinct irreducible constituents of the product of two faithful irreducible characters of a finite $p$-group, for $p\geq5$, is bigger than $(p+1)/2$, then it is at least $p$. We give a counterexample to this conjecture.

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M. Loukaki, A. Moretó. 2022-01-19. On the number of constituents of products of characters. https://arxiv.org/abs/2201.08274

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