Growth Series of Some Wreath Products

DOI10.2307/2154138zbMath0793.20034OpenAlexW4234504740MaRDI QIDQ4018463

Walter R. Parry

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154138

zbMATH Keywords

Cayley graphrestricted wreath productfinite generating setgrowth power series

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (27)

Proper actions of wreath products and generalizations ⋮ Law of large numbers for the drift of the two-dimensional wreath product ⋮ The growth series of \(H\wr(\mathbb{Z}\times\mathbb{Z}_ 2)\) ⋮ The Poisson boundary of lamplighter random walks on trees ⋮ Wreath products with the integers, proper actions and Hilbert space compression. ⋮ On groups that have normal forms computable in logspace. ⋮ Lamplighter groups, median spaces and Hilbertian geometry ⋮ Finitely presented wreath products and double coset decompositions. ⋮ On the \(L^p\)-distortion of finite quotients of amenable groups ⋮ Asymptotic property C of the wreath product \(\mathbb{Z} \wr \mathbb{Z}\) ⋮ \(\mathcal C\)-graph automatic groups. ⋮ Metric spaces with complexity of the smallest infinite ordinal number ⋮ Dead ends on wreath products and lamplighter groups ⋮ Strict Dead-End Elements in Free Soluble Groups ⋮ Corrigendum to ``On the dimension growth of groups. ⋮ On problems related to growth, entropy, and spectrum in group theory ⋮ The Length of Elements in Free Solvable Groups ⋮ A finitely presented group with unbounded dead-end depth ⋮ THE MAGNUS EMBEDDING IS A QUASI-ISOMETRY ⋮ L ^p -distortion and p -spectral gap of finite graphs ⋮ Distortion of wreath products in Thompson's group \(F\). ⋮ The word and geodesic problems in free solvable groups ⋮ The Conjugacy Ratio of Groups ⋮ Cayley Automatic Representations of Wreath Products ⋮ Examples of growth series of torus bundle groups ⋮ Sublinear deviation between geodesics and sample paths ⋮ Growth and ergodicity of context-free languages

Cites Work

• A note on curvature and fundamental group
• Unnamed Item

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