ON THE PROPERTIES OF THE CAYLEY GRAPH OF RICHARD THOMPSON'S GROUP F

DOI10.1142/S021819670400192XzbMath1088.20021arXivmath/0211396OpenAlexW1991789630MaRDI QIDQ4658706

Victor S. Guba

Publication date: 18 March 2005

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

Full work available at URL: https://arxiv.org/abs/math/0211396

zbMATH Keywords

growth ratesCayley graphsamenabilitygrowth functionsThompson group \(F\)length formula

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Asymptotic properties of groups (20F69) Means on groups, semigroups, etc.; amenable groups (43A07)

Related Items

Systems of equations over the group ring of Thompson’s group F, On diagram groups over Fibonacci-like semigroup presentations and their generalizations, R. Thompson’s group and the amenability problem, Conjugator length in Thompson's groups, Strict Dead-End Elements in Free Soluble Groups, Growth of positive words and lower bounds of the growth rate for Thompson’s groups F(p), On the Ore condition for the group ring of R. Thompson’s group F, Testing Cayley graph densities., Numerical studies of Thompson’s group F and related groups, Counting elements and geodesics in Thompson's group \(F\)., Combinatorial and metric properties of Thompson’s group 𝑇, Cone types and geodesic languages for lamplighter groups and Thompson's group \(F\)., On the density of Cayley graphs of R.Thompson’s group F in symmetric generators, COMPUTING WORD LENGTH IN ALTERNATE PRESENTATIONS OF THOMPSON'S GROUP F, Random subgroups of Thompson's group \(F\)., A computational approach to the Thompson group F, Evacuation schemes on Cayley graphs and non-amenability of groups

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