Thompson's group \(F\) is not almost convex.

DOI10.1016/S0021-8693(03)00516-7zbMath1054.20022arXivmath/0204249MaRDI QIDQ1419004

Sean Cleary, Jennifer Taback

Publication date: 14 January 2004

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204249

zbMATH Keywords

geometric actionsCayley graphsgenerating setsThompson group \(F\)tree pair diagramsalmost convexity

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

BOUNDING RIGHT-ARM ROTATION DISTANCES ⋮ Combinatorial properties of Thompson’s group 𝐹 ⋮ R. Thompson’s group and the amenability problem ⋮ Tame filling invariants for groups ⋮ Statistical hyperbolicity in groups. ⋮ Unusual geodesics in generalizations of Thompson's group \(F\). ⋮ Cone types and geodesic languages for lamplighter groups and Thompson's group \(F\). ⋮ FOREST DIAGRAMS FOR ELEMENTS OF THOMPSON'S GROUP F ⋮ COMPUTING WORD LENGTH IN ALTERNATE PRESENTATIONS OF THOMPSON'S GROUP F

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