THOMPSON'S GROUP V FROM A DYNAMICAL VIEWPOINT

DOI10.1142/S0218196710005534zbMath1266.20055OpenAlexW2064938360MaRDI QIDQ3552314

Olga P. Salazar-Díaz

Publication date: 15 April 2010

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

Full work available at URL: https://doi.org/10.1142/s0218196710005534

zbMATH Keywords

dynamicsCantor setperiodic pointsactionsbinary treesconjugacy problemtree pair diagramsThompson group \(V\)revealing pairsrollings

Mathematics Subject Classification ID

Trees (05C05) Conjugacy classes for groups (20E45) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15)

Related Items

Conjugacy and centralizers in groups of piecewise projective homeomorphisms ⋮ Centralizers in the R. Thompson group \(V_n\). ⋮ Distortion and Tits alternative in smooth mapping class groups ⋮ Computing the scale of an endomorphism of a totally disconnected locally compact group ⋮ The power conjugacy problem in Higman–Thompson groups ⋮ Embeddings into Thompson's group V and coCF groups ⋮ Free products in R. Thompson’s group 𝑉 ⋮ Conjugacy and dynamics in almost automorphism groups of trees

Cites Work

• Higher dimensional Thompson groups.
• On the relationship between the problems of equality and divisibility of words for semigroups with a single defining relation
• Finiteness properties of groups