Minimal length elements of Thompson's groups \(F(p)\).

DOI10.1007/S10711-008-9350-1zbMath1196.20049OpenAlexW2077974802MaRDI QIDQ833343

S. Blake Fordham, Sean Cleary

Publication date: 12 August 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-008-9350-1

zbMATH Keywords

binary treesThompson group \(F\)finite presentationstree pair diagramsgeneralized Thompson groupsminimal length elements

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65)

Related Items (3)

Restricted rotation distance between k-ary trees ⋮ Growth of positive words and lower bounds of the growth rate for Thompson’s groups F(p) ⋮ Unusual geodesics in generalizations of Thompson's group \(F\).

Cites Work

• Automorphisms of generalized Thompson groups
• Introductory notes on Richard Thompson's groups
• Minimal length elements of Thompson's group \(F\)
• Metrics and embeddings of generalizations of Thompson’s group $F$
• FOREST DIAGRAMS FOR ELEMENTS OF THOMPSON'S GROUP F
• Groups of Piecewise Linear Homeomorphisms
• Finiteness properties of groups

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