What is a horocyclic product, and how is it related to lamplighters?

zbMath1343.05082arXiv1401.1976MaRDI QIDQ2803889

Wolfgang Woess

Publication date: 3 May 2016

Full work available at URL: https://arxiv.org/abs/1401.1976

zbMATH Keywords

Cayley graphquasi-isometryhorocyclic producttreebolic spaces

Mathematics Subject Classification ID

Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Direct methods ((G)-spaces of Busemann, etc.) (53C70) Group actions on combinatorial structures (05E18)

Related Items (6)

Shannon's theorem for locally compact groups ⋮ Discrete random walks on the group Sol ⋮ Brownian motion on treebolic space: positive harmonic functions ⋮ A characterization of superreflexivity through embeddings of lamplighter groups ⋮ Circular slider graphs: de Bruijn, Kautz, Rauzy, lamplighters and spiders ⋮ Embeddings of trees, Cantor sets and solvable Baumslag-Solitar groups

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