An inverse theorem for Freiman multi-homomorphisms

W. T. Gowers, L. Milićević

Let $G_1,\dots ,G_k$ and $H$ be vector spaces over a finite field ${\mathbb{F}}_p$ of prime order. Let $A\subset G_1\times \cdots \times G_k$ be a set of size $\delta |G_1|\cdots |G_k|$.…