The basilica Thompson group is not finitely presented

DOI10.4171/GGD/522zbMath1472.20086arXiv1603.01150OpenAlexW2976146666MaRDI QIDQ2286351

Stefan Witzel, Matthew C. B. Zaremsky

Publication date: 22 January 2020

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

Full work available at URL: https://arxiv.org/abs/1603.01150

zbMATH Keywords

Thompson groupCAT(0) cube complexfinite presentationbasilica Julia set

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Other groups related to topology or analysis (20F38)

Related Items (5)

Finiteness properties for relatives of braided Higman-Thompson groups ⋮ The BNSR-invariants of the Houghton groups, concluded ⋮ Simple groups separated by finiteness properties ⋮ Rearrangement groups of fractals ⋮ Almost-automorphisms of trees, cloning systems and finiteness properties

Cites Work

• Unnamed Item
• A Thompson group for the basilica
• Simplicity and superrigidity of twin building lattices.
• Morse theory and finiteness properties of groups
• Simple groups separated by finiteness properties
• Special cube complexes
• The Σ-invariants of Thompson’s group F via Morse Theory
• Rearrangement groups of fractals
• Finiteness properties of groups

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