A Thompson group for the basilica

DOI10.4171/GGD/333zbMath1366.20026arXiv1201.4225OpenAlexW2169429245MaRDI QIDQ902290

James Belk, Bradley Forrest

Publication date: 8 January 2016

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

Full work available at URL: https://arxiv.org/abs/1201.4225

zbMATH Keywords

Julia setinvariant laminationThompson's groupspiecewise-linear homeomorphism

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (7)

Finiteness properties for relatives of braided Higman-Thompson groups ⋮ Unveiling the fractal structure of Julia sets with Lagrangian descriptors ⋮ Classifying spaces from Ore categories with Garside families ⋮ Quasisymmetries of the basilica and the Thompson group ⋮ The basilica Thompson group is not finitely presented ⋮ Rearrangement groups of fractals ⋮ Almost-automorphisms of trees, cloning systems and finiteness properties

Cites Work

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• Introductory notes on Richard Thompson's groups
• Higher dimensional Thompson groups.
• Conjugacy and dynamics in Thompson's groups.
• The group of parenthesized braids.
• On Groups of PL-homeomorphisms of the Real Line
• Groups of Piecewise Linear Homeomorphisms
• Diagram groups
• ON A TORSION-FREE WEAKLY BRANCH GROUP DEFINED BY A THREE STATE AUTOMATON
• The algebra of strand splitting. I. A braided version of Thompson's group V
• Finiteness properties of groups

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