Left-orderable groups that don't act on the line

DOI10.1007/s00209-015-1455-2zbMath1331.37058arXiv1406.5575OpenAlexW2055205532MaRDI QIDQ2516477

Kathryn Mann

Publication date: 3 August 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5575

zbMATH Keywords

group actionsgerms of homeomorphismsorderable grouphomeomorphisms of the line

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving maps of the interval (37E05) Ordered groups (group-theoretic aspects) (20F60)

Related Items (4)

A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line ⋮ The group of quasi-isometries of the real line cannot act effectively on the line ⋮ Anti-classification results for groups acting freely on the line ⋮ The space of circular orderings and semiconjugacy

Cites Work

• Unnamed Item
• Actions of groups of homeomorphisms on one-manifolds
• On the dynamics of (left) orderable groups.
• On the group of homeomorphisms of an arc
• Groups acting on the circle.
• The lattice-ordered group of automorphisms of an ordered set
• Numerical Invariants for Semiconjugacy of Homeomorphisms of the Circle

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