THE UNBOUNDED DEAD-END DEPTH PROPERTY IS NOT A GROUP INVARIANT

DOI10.1142/S0218196706003347zbMath1111.20034arXivmath/0504121OpenAlexW2032506640MaRDI QIDQ3421606

Andrew D. Warshall, Timothy R. Riley

Publication date: 7 February 2007

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504121

zbMATH Keywords

finitely presented groupsfinite generating setsword metricslamplighter groupsdead-end depths

Mathematics Subject Classification ID

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

Related Items (9)

Connectedness of spheres in Cayley graphs ⋮ Metric properties of Diestel-Leader groups. ⋮ Dead ends on wreath products and lamplighter groups ⋮ Every graph is a cut locus ⋮ A group with deep pockets for all finite generating sets. ⋮ Frobenius problem and dead ends in integers ⋮ 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

Cites Work

• Unnamed Item
• Statistical properties of finitely presented groups
• Combinatorial properties of Thompson’s group 𝐹
• A finitely presented group with unbounded dead-end depth
• Dead end words in lamplighter groups and other wreath products

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