The goal of this article is to compare the coefficients in the expansion of the permanent with those in the expansion of the determinant of a three-lines circulant matrix. As an application we prove a conjecture concerning the minimality of Galois-Togliatti systems.

中文翻译：

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循环矩阵和 Galois-Togliatti 系统

这篇文章的目的是比较三线循环矩阵行列式展开的永久系数和展开系数。作为一个应用，我们证明了一个关于 Galois-Togliatti 系统极小性的猜想。