7 citations · 11 across the 4 of their papers we have counts for
4 papers
On the rationality of the Nielsen zeta function for maps on solvmanifolds
Karel Dekimpe, Iris Van den Bussche
In [3,9], the Nielsen zeta function has been shown to be rational if is a self-map of an infra-solvmanifold of type (R). It is, however, still unknown whether …
An Averaging Formula for Nielsen numbers on Infra-Solvmanifolds
Karel Dekimpe, Iris Van den Bussche
Until now only for special classes of infra-solvmanifolds, namely infra-nilmanifolds and infra-solvmanifolds of type (R), there was a formula available for computing the Nielsen nu…
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…
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…