Spaces of invariant circular orders of groups

DOI10.4171/GGD/454zbMath1456.20040arXiv1508.02661MaRDI QIDQ1650831

Eric Samperton, Hyungryul Baik

Publication date: 13 July 2018

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

Full work available at URL: https://arxiv.org/abs/1508.02661

zbMATH Keywords

abelian groupsfinitely generated groupsfree productslinear ordershomeomorphisms of the circlecircular orders

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamical systems involving maps of the circle (37E10) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Ordered groups (06F15) Ordered groups (group-theoretic aspects) (20F60)

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On laminar groups, Tits alternatives and convergence group actions on \(\mathrm{S}^2\) ⋮ Anti-classification results for groups acting freely on the line ⋮ Generalizations of the Burns–Hale theorem ⋮ Orderable groups and semigroup compactifications ⋮ Group orderings, dynamics, and rigidity ⋮ A Note on Representable Group Topologies ⋮ Abstract commensurators of surface groups ⋮ Promoting circular-orderability to left-orderability ⋮ The space of circular orderings and semiconjugacy ⋮ Free products of circularly ordered groups with amalgamated subgroup ⋮ Laminar Groups and 3-Manifolds

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