Reidemeister spectra for solvmanifolds in low dimensions

DOI10.12775/TMNA.2019.012WikidataQ127813098 ScholiaQ127813098MaRDI QIDQ2335886

Sam Tertooy, Karel Dekimpe, Iris van den Bussche

Publication date: 15 November 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.08650

zbMATH Keywords

polycyclic groupsolvmanifoldtwisted conjugacyReidemeister number

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36)

Related Items (4)

The Reidemeister Spectra of Low Dimensional Almost-Crystallographic Groups ⋮ Thompson-like groups, Reidemeister numbers, and fixed points ⋮ Reidemeister classes in lamplighter-type groups ⋮ An averaging formula for Nielsen numbers on infra-solvmanifolds

Cites Work

• The \(R_\infty\) and \(S_\infty\) properties for linear algebraic groups
• Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds
• Twisted conjugacy classes in nilpotent groups.
• Nielsen numbers of selfmaps of Sol 3-manifolds
• Aspects of the property \(R_\infty\).
• The \(R_\infty\) property for infra-nilmanifolds
• Bieberbach groups and flat manifolds
• Lie groups and Lie algebras I. Foundations of Lie theory. Lie transformation groups. Transl. from the Russian by A. Kozlowski
• Geometry of Crystallographic Groups
• A Users' Guide to Infra-nilmanifolds and Almost-Bieberbach groups
• Twisted conjugacy classes in nilpotent groups
• Lectures on Nielsen fixed point theory
• TWISTED CONJUGACY CLASSES IN EXPONENTIAL GROWTH GROUPS
• The R _∞ property for free groups, free nilpotent groups and free solvable groups
• On the Finite Subgroups of GL (3, Z)
• Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)
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