Lamplighter groups, median spaces and Hilbertian geometry

DOI10.1017/S0013091522000190MaRDI QIDQ5088619

Anthony Genevois

Publication date: 13 July 2022

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00834

zbMATH Keywords

wreath productscompressionHaagerup propertyCAT(0) cube complexesKazhdan property (T)median spaces

Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (2)

No quasi-isometric rigidity for proper actions on CAT(0) cube complexes ⋮ A note on abelian cubulated groups

Cites Work

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• \(L_p\) compression, traveling salesmen, and stable walks.
• Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces
• Metrics on diagram groups and uniform embeddings in a Hilbert space.
• Kazhdan and Haagerup properties from the median viewpoint.
• The metrical interpretation of superreflexivity in Banach spaces
• The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space
• Graphs of some CAT(0) complexes
• On the bi-Lipschitz geometry of lamplighter graphs
• Speed of random walks, isoperimetry and compression of finitely generated groups
• Wreath products with the integers, proper actions and Hilbert space compression.
• Proper actions of wreath products and generalizations
• On coarse embeddability into l_p-spaces and a conjecture of Dranishnikov
• Embeddings of Discrete Groups and the Speed of Random Walks
• Compression bounds for wreath products
• The wreath product of $\mathbb {Z}$ with $\mathbb {Z}$ has Hilbert compression exponent $\frac {2}{3}$
• Growth Series of Some Wreath Products
• Spaces with measured walls, the Haagerup property and property (T)
• EMBEDDABILITY OF GENERALISED WREATH PRODUCTS

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