Thompson's group \(F\) and the linear group \(\mathrm{GL}_\infty(\mathbb Z)\).

DOI10.1007/s11401-011-0679-7zbMath1262.20049OpenAlexW2091104982MaRDI QIDQ1938740

Yan Wu, Xiaoman Chen

Publication date: 22 February 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-011-0679-7

zbMATH Keywords

Lipschitz mapsThompson group \(F\)finite decomposition complexityword-metricsreduced tree diagrams

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Other matrix groups over rings (20H25) Asymptotic properties of groups (20F69)

Cites Work

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• Introductory notes on Richard Thompson's groups
• Minimal length elements of Thompson's group \(F\)
• A notion of geometric complexity and its application to topological rigidity
• Combinatorial properties of Thompson’s group 𝐹