Groups, orders, and laws.

DOI10.4171/GGD/251zbMath1327.06015arXiv1405.0912MaRDI QIDQ473148

Andrés Navas

Publication date: 21 November 2014

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

Full work available at URL: https://arxiv.org/abs/1405.0912

zbMATH Keywords

Tits alternativeleft-orderable groupsgroup laws

Mathematics Subject Classification ID

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 (4)

Two new families of finitely generated simple groups of homeomorphisms of the real line ⋮ Generic algebraic properties in spaces of enumerated groups ⋮ Topological transitivity and wandering intervals for group actions on the line \(\mathbb R\) ⋮ Finitely generated infinite simple groups of homeomorphisms of the real line

Cites Work

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• The free group of rank 2 is a limit of Thompson's group \(F\).
• A minimal non-solvable group of homeomorphisms.
• Groups of piecewise linear homeomorphisms of the real line
• On the girth of finitely generated groups.

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