Thompson's group \(F\) and uniformly finite homology

DOI10.2140/agt.2009.9.2349zbMath1172.05325arXiv0806.2877OpenAlexW2165401256MaRDI QIDQ1035331

Daniel Staley

Publication date: 2 November 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0806.2877

zbMATH Keywords

amenabilityuniformly finite homologyThompson's group \(F\)

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Non-commutative arithmetics on Thompson's monoid

Cites Work

• Groups of piecewise linear homeomorphisms of the real line
• Group-invariant percolation on graphs
• Introductory notes on Richard Thompson's groups
• Non-amenable finitely presented torsion-by-cyclic groups.
• On groups with full Banach mean value
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• Folner's Conditions for Amenable Semi-Groups.
• Some graphs related to Thompson's group F