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arXiv 2201.082742022-01-19math.GR

关于特征标乘积的组成成分数量

On the number of constituents of products of characters

M. Loukaki, A. Moretó

发表信息：: Algebra Colloq. 14, no.2, 207-208,(2007)

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AI总结：

本文针对有限p-群中两个忠实不可约特征标乘积的不可约组成成分数量猜想，构造并给出了一个反例。

摘要：

已有猜想指出，对于p≥5的有限p-群，若两个忠实不可约特征标乘积的不同不可约组成成分数量大于(p+1)/2，则该数量至少为p。我们给出了该猜想的一个反例。

英文摘要：

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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