A finitely presented group with unbounded dead-end depth

DOI10.1090/S0002-9939-05-08043-3zbMath1112.20035arXivmath/0406443OpenAlexW2011006395MaRDI QIDQ5705541

Sean Cleary, Timothy R. Riley

Publication date: 9 November 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406443

zbMATH Keywords

Cayley graphsfinitely presented groupsfinite generating setsword metricsdead-end depths

Mathematics Subject Classification ID

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

Related Items (16)

Automorphisms of higher rank lamplighter groups ⋮ Metric properties of Diestel-Leader groups. ⋮ Erratum to ``A finitely presented group with unbounded dead-end depth ⋮ Dead ends on wreath products and lamplighter groups ⋮ Strict Dead-End Elements in Free Soluble Groups ⋮ The Dehn function of Baumslag's metabelian group. ⋮ Curvature, geometry and spectral properties of planar graphs ⋮ Horocyclic products of trees ⋮ Every graph is a cut locus ⋮ A group with deep pockets for all finite generating sets. ⋮ Frobenius problem and dead ends in integers ⋮ Unusual geodesics in generalizations of Thompson's group \(F\). ⋮ Deep pockets in lattices and other groups ⋮ SOME REMARKS ON DEPTH OF DEAD ENDS IN GROUPS ⋮ COMPUTING WORD LENGTH IN ALTERNATE PRESENTATIONS OF THOMPSON'S GROUP F ⋮ THE UNBOUNDED DEAD-END DEPTH PROPERTY IS NOT A GROUP INVARIANT

Cites Work

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• Minimal length elements of Thompson's group \(F\)
• Statistical properties of finitely presented groups
• Growth Series of Some Wreath Products
• Combinatorial properties of Thompson’s group 𝐹
• A Finitely Presented Metabelian Group with a Free Abelian Derived Group of Infinite Rank
• Dead end words in lamplighter groups and other wreath products

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