On spaces of Conradian group orderings

DOI10.1515/JGT.2009.053zbMath1192.06015arXiv0907.4340MaRDI QIDQ3565214

Cristóbal Rivas

Publication date: 2 June 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.4340

zbMATH Keywords

orderable groupsBaumslag-Solitar groupnumber of orderingsConradian orderings

Mathematics Subject Classification ID

Ordered groups (06F15)

Related Items (15)

One-dimensional actions of Higman's group ⋮ On Groups with Finitely Many Conradian Orderings ⋮ Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups ⋮ Dynamics of isolated left orders ⋮ On the dynamics of (left) orderable groups. ⋮ The number of locally invariant orderings of a group ⋮ Rigidity of certain solvable actions on the sphere ⋮ Group orderings, dynamics, and rigidity ⋮ Quasi-invariant measures for some amenable groups acting on the line ⋮ A remarkable family of left-ordered groups: central extensions of Hecke groups ⋮ \(C^1\)-actions of Baumslag-Solitar groups on \(S^1\) ⋮ Describing all bi-orderings on Thompson's group \(F\) ⋮ Regular left-orders on groups ⋮ Sur les rapprochements par conjugaison en dimension 1 et classe ⋮ On the space of left-orderings of virtually solvable groups

Cites Work

• Right-ordered groups
• Amenable groups that act on the line.
• On groups with infinitely many right orders
• Solvable groups of diffeomorphisms of the interval, the circle, and the real line
• Global rigidity of solvable group actions on \(S^1\)
• Local indicability in ordered groups: Braids and elementary amenable groups
• TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
• A family of groups with a countable infinity of full orders

This page was built for publication: On spaces of Conradian group orderings