Deciding whether a mapping torus is of full rank

Juemin Lin, Jianchun Wu

The mapping torus induced by an automorphism $\varphi$ of the free abelian group ${\mathbb{Z}}^n$ is a semi-direct product $G={\mathbb{Z}}^n{⋊}_{\varphi }\mathbb{Z}$. We show that whether the ran…