Divergence functions of Thompson groups

DOI10.1007/s10711-018-0390-xzbMath1453.20055arXiv1709.08144OpenAlexW2893095508MaRDI QIDQ2312736

Gili Golan, Mark V. Sapir

Publication date: 17 July 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08144

zbMATH Keywords

asymptotic conesdivergence functionR. Thompson group

Mathematics Subject Classification ID

Geometric group theory (20F65)

Related Items

Divergence function of the braided Thompson group ⋮ Random generation of Thompson group \(F\) ⋮ Divergence, undistortion and Hölder continuous cocycle superrigidity for full shifts

Cites Work

• A nonamenable finitely presented group of piecewise projective homeomorphisms
• On Jones' subgroup of R. Thompson group \(F\)
• Cantor systems, piecewise translations and simple amenable groups
• Some unitary representations of Thompson's groups \(F\) and \(T\)
• The Dehn function of Richard Thompson's group \(F\) is quadratic.
• Quasi-isometrically embedded subgroups of Thompson's group \(F\)
• Quadratic divergence of geodesics in CAT(0) spaces
• Introductory notes on Richard Thompson's groups
• Higher dimensional Thompson groups.
• Actions of picture groups on CAT(0) cubical complexes.
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Centralizers in the R. Thompson group \(V_n\).
• Metrics and embeddings of generalizations of Thompson’s group $F$
• Free products in R. Thompson’s group 𝑉
• Detour Functions and Quasi-Isometries
• Divergence in lattices in semisimple Lie groups and graphs of groups
• Combinatorial and metric properties of Thompson’s group 𝑇
• Diagram groups
• THE GROUPS OF RICHARD THOMPSON AND COMPLEXITY
• The algebra of strand splitting. I. A braided version of Thompson's group V
• The word and Riemannian metrics on lattices of semisimple groups