Compression bounds for wreath products
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Publication:3581095
DOI10.1090/S0002-9939-10-10307-4zbMath1235.20042arXiv0907.5017OpenAlexW2053544367MaRDI QIDQ3581095
Publication date: 16 August 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0907.5017
Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Metric geometry (51F99) Extensions, wreath products, and other compositions of groups (20E22) Asymptotic properties of groups (20F69) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)
Related Items
Proper actions of wreath products and generalizations, Lamplighter groups, median spaces and Hilbertian geometry, Stochastic approximation of lamplighter metrics, Separation profile, isoperimetry, growth and compression, Hilbert space compression under direct limits and certain group extensions, \(L_p\) compression, traveling salesmen, and stable walks., EQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTS, EMBEDDABILITY OF GENERALISED WREATH PRODUCTS, Metric behaviour of the Magnus embedding.
Cites Work
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- On the isometries of certain function-spaces
- Metrics on diagram groups and uniform embeddings in a Hilbert space.
- Differentiating maps into \(L^1\), and the geometry of BV functions
- Asymptotic dimension and uniform embeddings.
- Wreath products with the integers, proper actions and Hilbert space compression.
- Proper actions of wreath products and generalizations
- Embeddings of Discrete Groups and the Speed of Random Walks
- The wreath product of $\mathbb {Z}$ with $\mathbb {Z}$ has Hilbert compression exponent $\frac {2}{3}$
- EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS
- Geometry of cuts and metrics
- Groups with the Haagerup property. Gromov's a-T-menability
