Fast growth in the Følner function for Thompson's group \(F\).

DOI10.4171/GGD/201zbMath1300.20049MaRDI QIDQ374104

Justin Tatch Moore

Publication date: 28 October 2013

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

finite generating setsFølner functionsmarginal setsThompson group \(F\), amenability

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (12)

Systems of equations over the group ring of Thompson’s group F ⋮ Random Sampling of Trivial Words in Finitely Presented Groups ⋮ Følner functions and the generic word problem for finitely generated amenable groups ⋮ R. Thompson’s group and the amenability problem ⋮ Computability of Følner sets ⋮ Non-commutative arithmetics on Thompson's monoid ⋮ On the Ore condition for the group ring of R. Thompson’s group F ⋮ Numerical studies of Thompson’s group F and related groups ⋮ Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically ⋮ The braid shelf ⋮ Rank-to-rank embeddings, Laver tables, and Galton-Watson processes ⋮ Evacuation schemes on Cayley graphs and non-amenability of groups

Cites Work

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• Piecewise automatic groups.
• Entropy and isoperimetry for linear and non-linear group actions.
• Introductory notes on Richard Thompson's groups
• On isoperimetric profiles of finitely generated groups.
• Metrics and embeddings of generalizations of Thompson’s group $F$
• Combinatorial Group Theory and Topology. (AM-111)

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