SOME REMARKS ON DEPTH OF DEAD ENDS IN GROUPS

DOI10.1142/S0218196709005238zbMath1191.20027arXivmath/0703636OpenAlexW2061610964MaRDI QIDQ3637976

Jörg Lehnert

Publication date: 14 July 2009

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

Full work available at URL: https://arxiv.org/abs/math/0703636

zbMATH Keywords

Cayley graphsgenerating setsends of groupsdead end depthsdead endsHoughton groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (7)

Connectedness of spheres in Cayley graphs ⋮ Conjugation curvature for Cayley graphs ⋮ A remark on the connectedness of spheres in Cayley graphs. ⋮ Dead ends on wreath products and lamplighter groups ⋮ Iterated Minkowski sums, horoballs and north-south dynamics ⋮ A group with deep pockets for all finite generating sets. ⋮ Deep pockets in lattices and other groups

Cites Work

• Nachtrag zu der Arbeit: Fundamentalgruppe und zweite Bettische Gruppe
• Neuaufbau der Endentheorie
• THE UNBOUNDED DEAD-END DEPTH PROPERTY IS NOT A GROUP INVARIANT
• Erratum to ``A finitely presented group with unbounded dead-end depth
• 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
• Finiteness properties of groups

This page was built for publication: SOME REMARKS ON DEPTH OF DEAD ENDS IN GROUPS