Metrics and embeddings of generalizations of Thompson’s group $F$

DOI10.1090/S0002-9947-00-02650-7zbMath0989.20030arXivmath/9809185OpenAlexW1936651733MaRDI QIDQ2701675

José Burillo, Melanie Stein, Sean Cleary

Publication date: 19 February 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9809185

zbMATH Keywords

quasi-isometriesword lengthsquasi-isometric embeddingsRichard Thompson's group \(F\)

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Other groups related to topology or analysis (20F38)

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Cites Work

• Unnamed Item
• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Automorphisms of generalized Thompson groups
• Quasi-isometrically embedded subgroups of Thompson's group \(F\)
• Introductory notes on Richard Thompson's groups
• Minimal length elements of Thompson's group \(F\)
• Groups of piecewise-linear homeomorphisms with irrational slopes
• Groups of Piecewise Linear Homeomorphisms
• Diagram groups
• Finiteness properties of groups