On the cogrowth of Thompson's group F

DOI10.1515/GCC-2012-0018zbMath1291.20044arXiv1108.1596OpenAlexW2151964227MaRDI QIDQ2874366

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Publication date: 30 January 2014

Published in: Groups - Complexity - Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.1596

zbMATH Keywords

geodesicsfinitely generated groupsCayley graphsamenable groupsThompson group \(F\)cogrowthcogrowth ratesFekete lemma

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Asymptotic properties of groups (20F69) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items (6)

Random Sampling of Trivial Words in Finitely Presented Groups ⋮ A Numerical Lower Bound for the Spectral Radius of Random Walks on Surface Groups ⋮ Non-commutative arithmetics on Thompson's monoid ⋮ Numerical studies of Thompson’s group F and related groups ⋮ Sub-dominant Cogrowth Behavior and the Viability of Deciding Amenability Numerically ⋮ A computational approach to the Thompson group F

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