STRUCTURE THEOREMS FOR GROUPS OF HOMEOMORPHISMS OF THE CIRCLE

DOI10.1142/S0218196711006571zbMath1267.37037arXiv0910.0218OpenAlexW2151506432WikidataQ57460926 ScholiaQ57460926MaRDI QIDQ3097926

Francesco Matucci, Collin Bleak, Martin Kassabov

Publication date: 10 November 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.0218

zbMATH Keywords

rotation numbercircle mapssolvable subgroupsThompson groupsclassification of subgroups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) General structure theorems for groups (20E34) Dynamical systems involving maps of the circle (37E10) Free nonabelian groups (20E05) Dynamical systems involving maps of the interval (37E05)

Related Items

An algebraic classification of some solvable groups of homeomorphisms., Reversibility in groups of piecewise linear homeomorphisms of the circle, A dynamical definition of f.g. virtually free groups, Free products in R. Thompson’s group 𝑉, Rotation Numbers of Elements in Thompson's Group ${\bf T}$, Embedding ℚ into a finitely presented group

Cites Work

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• Rotation numbers in Thompson-Stein groups and applications
• An algebraic classification of some solvable groups of homeomorphisms.
• Free subgroups of the homeomorphism group of the circle
• A geometric classification of some solvable groups of homeomorphisms
• A simple proof of Denjoy's theorem