A universal nilpotent group of \(C^1\) diffeomorphisms of the interval

DOI10.1016/j.topol.2012.02.003zbMath1267.57039OpenAlexW1987092425MaRDI QIDQ411813

Eduardo Jorquera

Publication date: 30 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2012.02.003

zbMATH Keywords

Heisenberg groupgroup actioninterval diffeomorphism

Mathematics Subject Classification ID

Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (9)

Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Small \(C^1\) actions of semidirect products on compact manifolds ⋮ Integrability of moduli and regularity of Denjoy counterexamples ⋮ On the sharp regularity for arbitrary actions of nilpotent groups on the interval: the case of ⋮ Sharp regularity for certain nilpotent group actions on the interval ⋮ Direct products, overlapping actions, and critical regularity ⋮ Unsmoothable group actions on compact one-manifolds ⋮ Diffeomorphism groups of critical regularity ⋮ Sur les rapprochements par conjugaison en dimension 1 et classe

Cites Work

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• On one-dimensional dynamics in intermediary regularity
• On the entropy for group actions on the circle
• Nonsmoothable, Unstable Group Actions
• Groups of homeomorphisms of one-manifolds III: nilpotent subgroups

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