Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational

Abstract

We prove that the Reidemeister zeta functions of automorphisms of crystallographic groups with diagonal holonomy ${\mathbb{Z}}_2$ are rational. As a result, we obtain that Reidemeister zeta functions of automorphisms of almost-crystallographic groups up to dimension 3 are rational.

References in corpus (1)

• The Reidemeister spectra of low dimensional crystallographic groups

Cited by in corpus (1)

• New zeta functions of Reidemeister type and twisted Burnside-Frobenius theory