Random subgroups of Thompson's group \(F\).

DOI10.4171/GGD/76zbMath1226.20034arXiv0711.1343OpenAlexW1991554829MaRDI QIDQ1049914

Sean Cleary, Jennifer Taback, Murray J. Elder, Andrew Rechnitzer

Publication date: 14 January 2010

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

Full work available at URL: https://arxiv.org/abs/0711.1343

zbMATH Keywords

asymptotic densitiesThompson group \(F\)asymptotic group theoryD-finite generating functionsstatistical group theorynon-algebraic generating functionspersistent subgroupssubgroup spectravisible subgroups

Mathematics Subject Classification ID

Trees (05C05) Exact enumeration problems, generating functions (05A15) Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Asymptotic properties of groups (20F69) Probabilistic methods in group theory (20P05)

Related Items

Random equations in free groups, Spectral measures associated to rank two Lie groups and finite subgroups of \(\mathrm{GL}(2,\mathbb Z)\), Distributions of restricted rotation distances, Thompson's group F$F$ is almost 32$\frac{3}{2}$‐generated, On the stabilizers of finite sets of numbers in the R. Thompson group $F$, The Generation Problem in Thompson Group 𝐹, On subgroups of R. Thompson’s group $F$, Random equations in nilpotent groups., Exponentially generic subsets of groups, Random generation of Thompson group \(F\)

Uses Software

• gfun

Cites Work

• Analytic models and ambiguity of context-free languages
• Quasi-isometrically embedded subgroups of Thompson's group \(F\)
• Introductory notes on Richard Thompson's groups
• The class of groups all of whose subgroups with lesser number of generators are free is generic
• Geometric quasi-isometric embeddings into Thompson's group \(F\).
• PRESENTATIONS, CONJUGACY, ROOTS, AND CENTRALIZERS IN GROUPS OF PIECEWISE LINEAR HOMEOMORPHISMS OF THE REAL LINE
• Growth of Positive Words in Thompson's GroupF
• ON THE PROPERTIES OF THE CAYLEY GRAPH OF RICHARD THOMPSON'S GROUP F
• Combinatorial properties of Thompson’s group 𝐹
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