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

Abstract

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

21 pages

References in corpus (3)

• Reidemeister numbers of saturated weakly branch groups
• On the Reidemeister spectrum and the $R_{\infty }$ property for some free nilpotent groups
• Twisted conjugacy classes in nilpotent groups