Groups of line and circle homeomorphisms. Criteria for almost nilpotency

DOI10.1070/SM9043zbMath1415.37055OpenAlexW2914390243MaRDI QIDQ4966688

L. A. Beklaryan

Publication date: 27 June 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9043

zbMATH Keywords

free subsemigroupalmost nilpotencygroup of circle homeomorphismsgroup of line homeomorphisms

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving maps of the interval (37E05)

Cites Work

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• Noethersche Gruppen
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Polynomial growth in holonomy groups of foliations
• Groups acting on the circle.
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• Residual subsets in the space of finitely generated groups of diffeomorphisms of the circle
• On one-dimensional dynamics in intermediary regularity
• Groups of line and circle diffeomorphisms. Criteria for almost nilpotency and structure theorems
• Groups of line and circle homeomorphisms. Metric invariants and questions of classification
• On the classification of groups of orientation-preserving homeomorphisms of $ \mathbb R$. II. Projectively-invariant measures
• Groups of homeomorphisms of one-manifolds III: nilpotent subgroups
• Groups of homeomorphisms of the line and the circle. Topological characteristics and metric invariants
• Invariant Measures and Growth Conditions
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