Finitely generated infinite simple groups of homeomorphisms of the real line

DOI10.1007/s00222-019-00880-7zbMath1422.43002arXiv1807.06478OpenAlexW3105810004MaRDI QIDQ2322814

Yash Lodha, James T. Hyde

Publication date: 5 September 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.06478

zbMATH Keywords

finitely generated groupsinfinite simple groupsgroups of homeomorphisms of the real lineleft order able groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (10)

One-dimensional actions of Higman's group ⋮ Confined subgroups and high transitivity ⋮ Two new families of finitely generated simple groups of homeomorphisms of the real line ⋮ On the action of the ${\varSigma }(2,3,7)$ homology sphere group on its space of left-orders ⋮ Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems ⋮ Embeddings into left‐orderable simple groups ⋮ Groups of piecewise linear homeomorphisms of flows ⋮ Uniformly perfect finitely generated simple left orderable groups ⋮ Max-min theorems for weak containment, square summable homoclinic points, and completely positive entropy ⋮ Harmonic models and Bernoullicity

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