Nilpotent probability of compact groups

Alireza Abdollahi, Meisam Soleimani Malekan

Let $k$ be any positive integer and $G$ a compact (Hausdorff) group. Let $\mf{np}_k(G)$ denote the probability that $k+1$ randomly chosen elements $x_1,\dots ,x_{k+1}$ satisfy $[x_1…