$PSL(2,\mathbb{Z})$ as a non-distorted subgroup of Thompson's group T

DOI10.1512/iumj.2011.60.4477zbMath1261.20042arXiv1006.0508OpenAlexW4317523380MaRDI QIDQ4905823

Ariadna Fossas

Publication date: 21 February 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.0508

zbMATH Keywords

presentationsnormal formsfree subgroupsword lengthsThompson group \(T\)rooted binary treessubgroup distortiontree pair diagramstypes of caretspiecewise projective homeomorphisms

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65)

Related Items (5)

Non-inner amenability of the Thompson groups \(T\) and \(V\) ⋮ The infinite associahedron and R. J. Thompson's group \(T\) ⋮ Automorphisms of surfaces of Markov type ⋮ On spherical unitary representations of groups of spheromorphisms of Bruhat-Tits trees ⋮ On the group of spheromorphisms of a homogeneous non-locally finite tree

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