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Properties of Richard Thompson's group \(F\) related to Følner sets.

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Publication:960040
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DOI10.1007/s10711-008-9255-zzbMath1163.43001OpenAlexW1993873131MaRDI QIDQ960040

John R. Donnelly

Publication date: 16 December 2008

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

Full work available at URL: https://doi.org/10.1007/s10711-008-9255-z


zbMATH Keywords

thin setsamenabilityFølner setsRichard Thompson's group \(F\)ruinous sets


Mathematics Subject Classification ID

Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Means on groups, semigroups, etc.; amenable groups (43A07)


Related Items

Non-commutative arithmetics on Thompson's monoid ⋮ A Minimal Candidate for the Existence of a Weakly-Ruinous Set



Cites Work

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  • Splitting homotopy idempotents. II
  • An infinite-dimensional torsion-free \(\text{FP}_{\infty}\) group
  • Ruinous subsets of Richard Thompson's group \(F\).
  • Groups of piecewise linear homeomorphisms of the real line
  • Introductory notes on Richard Thompson's groups
  • Minimal length elements of Thompson's group \(F\)
  • The structure group for the associativity identity
  • On groups with full Banach mean value
  • Diagram groups
  • The Ubiquity of Thompson's Group F in Groups of Piecewise Linear Homeomorphisms of the Unit Interval
  • Finiteness properties of groups
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