Restricted Permutations and Permanents of Infinite Amenable Groups

Hanfeng Li, Klaus Schmidt

Let $\hat{I}“$ be an infinite discrete group and $\mathsf{A}\subset \hat{I}“$ a nonempty finite subset. The set of permutations $\ddot{I}ƒ$ of $\hat{I}“$ such that $s^{-1}\ddot{I}ƒ(s)\in \mathsf{A}$ for every $s\…