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arXiv · 1710.02335

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

Karel Dekimpe·Sam Tertooy·Iris Van den Bussche
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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.

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Karel Dekimpe, Sam Tertooy, Iris Van den Bussche. 2017-10-06. Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational. https://doi.org/10.1080/00927872.2018.1435792

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