Ruinous subsets of Richard Thompson's group \(F\).

DOI10.1016/j.jpaa.2006.03.006zbMath1113.20035OpenAlexW2064750252MaRDI QIDQ861865

John R. Donnelly

Publication date: 2 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2006.03.006

zbMATH Keywords

amenabilitybinary treesThompson group \(F\)left invariant meansbinary forestsruinous subsets

Mathematics Subject Classification ID

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) Groups acting on trees (20E08) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

Systems of equations over the group ring of Thompson’s group F ⋮ \(S_{0,3}\) is non-ruinous ⋮ Non-commutative arithmetics on Thompson's monoid ⋮ On the Ore condition for the group ring of R. Thompson’s group F ⋮ A Minimal Candidate for the Existence of a Weakly-Ruinous Set ⋮ Properties of Richard Thompson's group \(F\) related to Følner sets.

Cites Work

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• Splitting homotopy idempotents. II
• An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
• Groups of piecewise linear homeomorphisms of the real line
• Matching theory
• Introductory notes on Richard Thompson's groups
• Minimal length elements of Thompson's group \(F\)
• The structure group for the associativity identity
• Finiteness properties of groups

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