Periodic points for amenable group actions on dendrites

DOI10.1090/PROC/13206zbMath1368.37019OpenAlexW2324460873MaRDI QIDQ2832818

En Hui Shi, Xiang Dong Ye

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13206

zbMATH Keywords

periodic pointdendriteamenable group

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamical systems involving maps of trees and graphs (37E25) General theory of group and pseudogroup actions (22F05)

Related Items (8)

Dynamics of homeomorphisms of regular curves ⋮ Group actions on dendrites and curves ⋮ Equicontinuity of minimal sets for amenable group actions on dendrites ⋮ Group actions on treelike compact spaces ⋮ Every continuous action of a compact group on a uniquely arcwise connected continuum has a fixed point ⋮ Topological properties of Ważewski dendrite groups ⋮ Periodic points for amenable group actions on uniquely arcwise connected continua ⋮ Group action with finite orbits on local dendrites

Cites Work

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• Free subgroups of dendrite homeomorphism group
• Periodic points of solvable group actions on 1-arcwise connected continua
• Groups acting on the circle.
• Non-amenable finitely presented torsion-by-cyclic groups
• Minimal sets for group actions on dendrites
• Minimal group actions on dendrites
• Fixed point properties of nilpotent group actions on 1-arcwise connected continua
• Groups of piecewise projective homeomorphisms

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