On finite decomposition complexity of Thompson group.

DOI10.1016/J.JFA.2011.04.006zbMath1220.20041OpenAlexW1969069815MaRDI QIDQ550384

Yan Wu, Xiaoman Chen

Publication date: 8 July 2011

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2011.04.006

zbMATH Keywords

asymptotic dimensionThompson group \(F\)exact metric spacesfinite decomposition complexityreduced forest diagramsword-metrics

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Asymptotic properties of groups (20F69)

Related Items (5)

Asymptotic property C of the wreath product \(\mathbb{Z} \wr \mathbb{Z}\) ⋮ Metric spaces with complexity of the smallest infinite ordinal number ⋮ Asymptotic dimension, decomposition complexity, and Haver's property C ⋮ Non-commutative arithmetics on Thompson's monoid ⋮ Large scale properties for bounded automata groups.

Cites Work

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• Introductory notes on Richard Thompson's groups
• Coarsely embeddable metric spaces without Property A
• Wreath products with the integers, proper actions and Hilbert space compression.
• Amenability for discrete convolution semigroup algebras.

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