A computational approach to the Thompson group F

DOI10.1142/S0218196715500022zbMath1335.20042arXiv1409.1486MaRDI QIDQ5252304

Søren Haagerup, Maria Ramirez-Solano, Uffe Haagerup

Publication date: 29 May 2015

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.1486

zbMATH Keywords

amenabilityThompson group \(F\)computer calculationscogrowthLeinert sets

Mathematics Subject Classification ID

Geometric group theory (20F65) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Software, source code, etc. for problems pertaining to group theory (20-04) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (8)

Random Sampling of Trivial Words in Finitely Presented Groups ⋮ Classical length-5 pattern-avoiding permutations ⋮ Stieltjes moment sequences for pattern-avoiding permutations ⋮ Graph polynomials and link invariants as positive type functions on Thompson’s group F ⋮ Strong pure infiniteness of crossed products ⋮ Numerical studies of Thompson’s group F and related groups ⋮ Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically ⋮ Computational Explorations of the Thompson Group T for the Amenability Problem of F

Cites Work

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• Testing Cayley graph densities.
• Counting elements and geodesics in Thompson's group \(F\).
• Groups of piecewise linear homeomorphisms of the real line
• Cogrowth and amenability of discrete groups
• The Kadison-Kaplansky conjecture for word-hyperbolic groups
• On the cogrowth of Thompson's group F
• Full Banach Mean Values on Countable groups.
• FOREST DIAGRAMS FOR ELEMENTS OF THOMPSON'S GROUP F
• Computing Norms in Group C ∗ -Algebras
• Isotropic random walks in a tree
• A characterization of the Leinert property
• ON THE PROPERTIES OF THE CAYLEY GRAPH OF RICHARD THOMPSON'S GROUP F
• Groups of piecewise projective homeomorphisms
• \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space

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