A note on the existence of the Reidemeister zeta function on groups
DOI10.1016/J.TOPOL.2024.109088MaRDI QIDQ6659427
Publication date: 9 January 2025
Published in: Topology and its Applications (Search for Journal in Brave)
torsion-free nilpotent groupsReidemeister numbervirtually polycyclic groupsReidemeister zeta function
Conjugacy classes for groups (20E45) Nilpotent groups (20F18) Automorphisms of infinite groups (20E36) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Cites Work
- Title not available (Why is that?)
- Nielsen zeta functions for maps on infra-nilmanifolds are rational
- Expanding maps and non-trivial self-covers on infra-nilmanifolds
- Twisted conjugacy classes in nilpotent groups.
- Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem
- Strongly scale-invariant virtually polycyclic groups
- On closed manifolds admitting an Anosov diffeomorphism but no expanding map
- Gradings on Lie algebras with applications to infra-nilmanifolds.
- On Anosov automorphisms of nilmanifolds
- The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\)
- Pólya-Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions
- Hyperbolic automorphisms and Anosov diffeomorphisms on nilmanifolds
- A Users' Guide to Infra-nilmanifolds and Almost-Bieberbach groups
- Dynamical zeta functions of Reidemeister type and representations spaces
- Anosov diffeomorphisms on nilmanifolds modelled on a free nilpotent Lie group
- The Reidemeister zeta function and the computation of the Nielsen zeta function
- ON CO-HOPFIAN NILPOTENT GROUPS
- Dynamical zeta functions, Nielsen theory and Reidemeister torsion
- Reidemeister zeta functions of low-dimensional almost-crystallographic groups are rational
- Anosov automorphisms on compact nilmanifolds associated with graphs
- The R ∞ property for free groups, free nilpotent groups and free solvable groups
- Anosov diffeomorphisms on infra‐nilmanifolds associated to graphs
- A characterization of Anosov rational forms in nilpotent Lie algebras associated to graphs
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