|
|||||
|
|
Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational |
|
| Authors: | Karel Dekimpe Sam Tertooy Iris Van den Bussche |
| Affiliation: | KU Leuven Campus Kulak Kortrijk, Kortrijk, Belgium |
| Abstract: | We prove that the Reidemeister zeta functions of automorphisms of crystallographic groups with diagonal holonomy ?2 are rational. As a result, we obtain that Reidemeister zeta functions of automorphisms of almost-crystallographic groups up to dimension 3 are rational. |
| Keywords: | Almost–crystallographic group Reidemeister number twisted conjugacy zeta function |