Arithmeticity of groups ${\mathbb{Z}}^n⋊\mathbb{Z}$

Bena Tshishiku

We study when the group ${\mathbb{Z}}^n{⋊}_A\mathbb{Z}$ is arithmetic where $A\in G{L}_n(\mathbb{Z})$ is hyperbolic and semisimple. We begin by giving a characterization of arithmetic…