Reidemeister spectra for solvmanifolds in low dimensions

Karel Dekimpe, Sam Tertooy, Iris Van den Bussche

DOI: http://dx.doi.org/10.12775/TMNA.2019.012

Abstract


The Reidemeister number of an endomorphism of a group is the number of twisted conjugacy classes determined by that endomorphism. The collection of all Reidemeister numbers of all automorphisms of a group $G$ is called the Reidemeister spectrum of $G$. In this paper, we determine the Reidemeister spectra of all fundamental groups of solvmanifolds up to Hirsch length 4.

Keywords


Twisted conjugacy, Reidemeister number, polycyclic group, solvmanifold

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