A note on the existence of the Reidemeister zeta function on groups
type: Item
instance of: scholarly article
title: A note on the existence of the Reidemeister zeta function on groups
author: Jonas Deré
published in: Topology and its Applications
publication date: 2025-01-09T00:00:00Z
Mathematics Subject Classification ID: 20E45
Mathematics Subject Classification ID: 20F18
Mathematics Subject Classification ID: 20E36
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 37C30
zbMATH DE Number: 7963903
zbMATH Keywords: Reidemeister zeta function
zbMATH Keywords: Reidemeister number
zbMATH Keywords: virtually polycyclic groups
zbMATH Keywords: torsion-free nilpotent groups
MaRDI profile type: Publication
cites work: ON CO-HOPFIAN NILPOTENT GROUPS
cites work: Anosov automorphisms on compact nilmanifolds associated with graphs
cites work: Hyperbolic automorphisms and Anosov diffeomorphisms on nilmanifolds
cites work: A Users' Guide to Infra-nilmanifolds and Almost-Bieberbach groups
cites work: Expanding maps and non-trivial self-covers on infra-nilmanifolds
cites work: Nielsen zeta functions for maps on infra-nilmanifolds are rational
cites work: The R ∞ property for free groups, free nilpotent groups and free solvable groups
cites work: Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational
cites work: Anosov diffeomorphisms on nilmanifolds modelled on a free nilpotent Lie group
cites work: Gradings on Lie algebras with applications to infra-nilmanifolds.
cites work: Strongly scale-invariant virtually polycyclic groups
cites work: Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs
cites work: On closed manifolds admitting an Anosov diffeomorphism but no expanding map
cites work: A characterization of Anosov rational forms in nilpotent Lie algebras associated to graphs
cites work: Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem
cites work: The Reidemeister zeta function and the computation of the Nielsen zeta function
cites work: Dynamical zeta functions, Nielsen theory and Reidemeister torsion
cites work: Pólya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions
cites work: The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\)
cites work: Dynamical zeta functions of Reidemeister type and representations spaces
cites work: On Anosov automorphisms of nilmanifolds
cites work: Twisted conjugacy classes in nilpotent groups.
cites work: Q3663506
DOI: 10.1016/J.TOPOL.2024.109088
description: scientific article; zbMATH DE number 7963903