A structure theorem and left-orderability of a quotient of quasi-isometry group of the real line

DOI10.1007/S10711-023-00857-0zbMath1527.20061arXiv2303.17414OpenAlexW4388461847MaRDI QIDQ6091841

Swarup Bhowmik, Prateep Chakraborty

Publication date: 27 November 2023

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.17414

zbMATH Keywords

left-orderable groupsPL-homeomorphism groupsquasi-isometries of real line

Mathematics Subject Classification ID

Geometric group theory (20F65) Dynamical systems involving maps of the circle (37E10) Ordered groups (group-theoretic aspects) (20F60)

Cites Work

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• On the dynamics of (left) orderable groups.
• Right orderable groups that are not locally indicable
• The quasi-isometry classification of lattices in semisimple Lie groups
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Groups acting on the circle.
• Embedding certain diffeomorphism groups in the quasi-isometry groups of Euclidean spaces
• Left-orderable groups that don't act on the line
• On homeomorphisms and quasi-isometries of the real line
• The large scale geometry of the higher Baumslag-Solitar groups

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