One-dimensional actions of Higman's group

DOI10.19086/da.11151zbMath1437.37037arXiv1905.00938OpenAlexW3003853676MaRDI QIDQ5211019

Michele Triestino, Cristóbal Rivas

Publication date: 17 January 2020

Published in: discrete Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00938

zbMATH Keywords

one-dimensional dynamicsHigman's group, orderable groupsKaplansky's zero divisors conjecture

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Ordered groups (06F15) Groups as automorphisms of other structures (22F50) Dynamics in general topological spaces (37B02)

Cites Work

• Unnamed Item
• Unnamed Item
• On the dynamics of (left) orderable groups.
• Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations. (On smooth conjugacy of diffeomorphisms of the circle with rotations)
• A generalization of the Reeb stability theorem
• Groups acting on the circle.
• Finitely generated infinite simple groups of homeomorphisms of the real line
• Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups
• A note on semi-conjugacy for circle actions
• Rigidity and flexibility of group actions on the circle
• Ordered groups and topology
• On spaces of Conradian group orderings
• Some small aspherical spaces
• Bounded Cohomology of Discrete Groups
• Group orderings, dynamics, and rigidity
• The second bounded cohomology of an amalgamated free product of groups
• On the faithful representation of infinite groups by matrices
• A Note on Group Rings of Certain Torsion-Free Groups
• A Finitely Generated Infinite Simple Group