论文标题
加洛伊斯同胞中的3倍梅西产品 - 非PRIME情况
3-fold Massey products in Galois cohomology -- The non-prime case
论文作者
论文摘要
对于$ m \ geq2 $，让$ f $是特征质量到$ m $的字段，并包含订单$ m $的统一根源，让$ g_f $是其绝对Galois组。我们表明，3倍Massey产品$ \langleχ_1，χ_2，χ_3\ rangle $，$χ_1，χ_2，χ_3\ in H^1（g_f，\ _f，\ Mathbb {z}/m）/m）$和$ q_1，ummath $ $ $ $ \ $ \ z z}以前证明了这一点，以$ m $ prime。我们的证明是基于对$ g_f $的Unitriangular表示形式的研究。
For $m\geq2$, let $F$ be a field of characteristic prime to $m$ and containing the roots of unity of order $m$, and let $G_F$ be its absolute Galois group. We show that the 3-fold Massey products $\langleχ_1,χ_2,χ_3\rangle$, with $χ_1,χ_2,χ_3\in H^1(G_F,\mathbb{Z}/m)$ and $χ_1,χ_3$ $\mathbb{Z}/m$-linearly independent, are non-essential. This was earlier proved for $m$ prime. Our proof is based on the study of unitriangular representations of $G_F$.
