9 citations · 30 across the 13 of their papers we have counts for
4 papers · 1 filter
Reidemeister spectra for solvmanifolds in low dimensions
Karel Dekimpe, Sam Tertooy, Iris Van den Bussche
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…
Fixed points of diffeomorphisms on nilmanifolds with a free nilpotent fundamental group
Karel Dekimpe, Sam Tertooy, Antonio R. Vargas
Let be a nilmanifold with a fundamental group which is free -step nilpotent on at least 4 generators. We will show that for any nonnegative integer there exists a self-d…
Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational
Karel Dekimpe, Sam Tertooy, Iris Van den Bussche
We prove that the Reidemeister zeta functions of automorphisms of crystallographic groups with diagonal holonomy are rational. As a result, we obtain that Reidemeist…
The Reidemeister spectra of low dimensional crystallographic groups
Karel Dekimpe, Tom Kaiser, Sam Tertooy
In this paper we study the number of twisted conjugacy classes (the Reidemeister number) for automorphisms of crystallographic groups. We present two main algorithms for crystallog…