Reidemeister spectrum for metabelian groups of the form ${Q}^n\rtimes \mathbb Z$ and ${\mathbb Z[1/p]}^n\rtimes \mathbb Z$, $p$ prime.

link: http://arxiv.org/abs/0909.3128
Abstract

In this note we study the Reidemeister spectrum for metabelian groups of the
form ${\mathbb Q}^n\rtimes \mathbb Z$ and ${\mathbb Z[1/p]}^n\rtimes \mathbb
Z$. Particular attention is given to the $R_{\infty}$ property of a subfamily
of these groups.