The Reidemeister spectrum of 2-step nilpotent groups determined by graphs

Abstract

In this paper we will show that finitely generated torsion-free 2-step nilpotent groups of Hirsch length at most 6 do not have the R∞-property, while there are examples of such groups of Hirsch length 7 that do have the R∞-property. * Supported by Methusalem grant METH/21/03 -long term structural funding of the Flemish Government. † Researcher funded by FWO PhD-fellowship fundamental research (file number: 1102424N).