Irrational-slope versions of thompson's groups T and V

DOI10.1017/S0013091522000050MaRDI QIDQ5065444

José Burillo, Brita E. A. Nucinkis, Lawrence Reeves

Publication date: 21 March 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.02401

zbMATH Keywords

Thompson groupsimple groupirrational slope

Mathematics Subject Classification ID

Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Other groups related to topology or analysis (20F38) Commutator calculus (20F12)

Related Items (2)

Subgroups of \(\mathrm{PL}_+ I\) which do not embed into Thompson's group \(F\) ⋮ Second bounded cohomology of groups acting on 1-manifolds and applications to spectrum problems

Cites Work

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• Cohomological finiteness conditions and centralisers in generalisations of Thompson's group \(V\)
• The Brin-Thompson groups \(sV\) are of the type \(\text F_\infty\).
• Introductory notes on Richard Thompson's groups
• Regular subdivision in \(\mathbb{Z} [\frac{1+\sqrt{5}}{2}\)]
• Higher dimensional Thompson groups.
• Groups of piecewise-linear homeomorphisms with irrational slopes
• An irrational-slope Thompson's group
• Combinatorial and metric properties of Thompson’s group 𝑇
• Groups of Piecewise Linear Homeomorphisms
• Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V

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