The automorphism group of Thompson's group \(F\): subgroups and metric properties.
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Publication:373500
DOI10.4171/RMI/741zbMath1285.20039arXiv1107.4336MaRDI QIDQ373500
Publication date: 17 October 2013
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.4336
automorphism groupsThompson group \(F\)subgroup distortionorientation-preserving automorphismstree pair diagrams
Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphism groups of groups (20F28)
Related Items
Automorphisms of the generalized Thompson's group Tn,r$T_{n,r}$, The conjugacy problem in extensions of Thompson's group \(F\), Embedding ℚ into a finitely presented group
Cites Work
- Metric properties of higher-dimensional Thompson's groups.
- Commensurations and subgroups of finite index of Thompson's group \(F\).
- Distortion of wreath products in some finitely presented groups.
- Automorphisms of generalized Thompson groups
- Quasi-isometrically embedded subgroups of Thompson's group \(F\)
- Introductory notes on Richard Thompson's groups
- The Chameleon groups of Richard J. Thompson: Automorphisms and dynamics
- Minimal length elements of Thompson's group \(F\)
- Thompson's group is distorted in the Thompson-Stein groups.
- Metrics and embeddings of generalizations of Thompson’s group $F$
- Combinatorial and metric properties of Thompson’s group 𝑇
- Combinatorial properties of Thompson’s group 𝐹
- On subgroups of R. Thompson's group $ F$ and other diagram groups
