On the space of left-orderings of virtually solvable groups

DOI10.4171/GGD/343zbMath1360.06013arXiv1209.3251OpenAlexW2963318450MaRDI QIDQ260101

Romain Tessera, Cristóbal Rivas

Publication date: 18 March 2016

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

Full work available at URL: https://arxiv.org/abs/1209.3251

zbMATH Keywords

solvable groupleft-orderable groupone dimensional dynamicsspace of orderings

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Dynamical systems involving maps of the interval (37E05) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

Related Items (6)

Left orders in Garside groups ⋮ On the action of the ${\varSigma }(2,3,7)$ homology sphere group on its space of left-orders ⋮ Group orderings, dynamics, and rigidity ⋮ Spaces of orders of some one-relator groups ⋮ Invariant ordering of groups and topology ⋮ Quasi-invariant measures for some amenable groups acting on the line

Cites Work

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• Construction of isolated left orderings via partially central cyclic amalgamation.
• Dehornoy-like left orderings and isolated left orderings.
• Almost-periodic actions on the real line
• Left-orderings on free products of groups
• A remarkable family of left-ordered groups: central extensions of Hecke groups
• 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
• Groups acting on the circle.
• Monoids of \(O\)-type, subword reversing, and ordered groups.
• On Groups with Finitely Many Conradian Orderings
• The space of left orders of a group is either finite or uncountable
• Free Lattice-Ordered Groups Represented as o-2 Transitive l-Permutation Groups
• On spaces of Conradian group orderings
• Solvable Groups Acting on the Line
• Soluble Right Orderable Groups are Locally Indicable

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