Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational
Group Theory
2021-10-22 v3
Abstract
We prove that the Reidemeister zeta functions of automorphisms of crystallographic groups with diagonal holonomy are rational. As a result, we obtain that Reidemeister zeta functions of automorphisms of almost-crystallographic groups up to dimension 3 are rational.
Keywords
Cite
@article{arxiv.1710.02335,
title = {Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational},
author = {Karel Dekimpe and Sam Tertooy and Iris Van den Bussche},
journal= {arXiv preprint arXiv:1710.02335},
year = {2021}
}