Classifying orbits of the affine group over the integers

L. M. Cabrer, D. Mundici

For each $n=1,2,\dots$, let $\mathsf{GL}(n,\mathbb{Z})⋉{\mathbb{Z}}^n$ be the affine group over the integers. For every point $x=(x_1,\dots ,x_n)\in {\mathbb{R}}^n$ let $\mathrm…