Interleaved group products

W. T. Gowers, Emanuele Viola

Let $G$ be the special linear group $\mathrm{SL}(2,q)$. We show that if $(a_1,\dots ,a_t)$ and $(b_1,\dots ,b_t)$ are sampled uniformly from large subsets $A$ and $B$ of $G^t$ then…