Describing all bi-orderings on Thompson's group \(F\)

DOI10.4171/GGD/78zbMath1193.06015arXiv0808.1688MaRDI QIDQ1049916

Andrés Navas, Cristóbal Rivas

Publication date: 14 January 2010

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.1688

zbMATH Keywords

Thompson's group \(F\)Conrad's propertygroup orderings

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (6)

On the dynamics of (left) orderable groups. ⋮ On the topology of the space of bi-orderings of a free group on two generators ⋮ A remarkable family of left-ordered groups: central extensions of Hecke groups ⋮ Subgroup dynamics and $C^\ast$-simplicity of groups of homeomorphisms ⋮ Free Fields in Malcev–Neumann Series Rings ⋮ Interval orders, semiorders and ordered groups

Cites Work

• On the dynamics of (left) orderable groups.
• Right-ordered groups
• Amenable groups that act on the line.
• A new characterization of Conrad's property for group orderings, with applications. With an appendix by Adam Clay
• Introductory notes on Richard Thompson's groups
• The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
• On ordering free groups.
• An Even Better Representation for Free Lattice-Ordered Groups
• On spaces of Conradian group orderings
• Soluble Right Orderable Groups are Locally Indicable
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• On a family of simple ordered groups
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