The automorphism group of Thompson's group \(F\): subgroups and metric properties.

DOI10.4171/RMI/741zbMath1285.20039arXiv1107.4336MaRDI QIDQ373500

Sean Cleary, José Burillo

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

zbMATH Keywords

automorphism groupsThompson group \(F\)subgroup distortionorientation-preserving automorphismstree pair diagrams

Mathematics Subject Classification ID

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