Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Metrics on diagram groups and uniform embeddings in a Hilbert space. - MaRDI portal

Metrics on diagram groups and uniform embeddings in a Hilbert space.

From MaRDI portal
Publication:851108

DOI10.4171/CMH/80zbMath1166.20031arXivmath/0411605OpenAlexW2005963848MaRDI QIDQ851108

Mark V. Sapir, Victor S. Guba, Goulnara N. Arzhantseva

Publication date: 13 November 2006

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411605




Related Items (30)

Proper actions of wreath products and generalizationsHyperplanes of Squier's cube complexesWreath products with the integers, proper actions and Hilbert space compression.A quasi-isometric embedding theorem for groups.On exactness and isoperimetric profiles of discrete groupsLamplighter groups, median spaces and Hilbertian geometryThe Brin Prize works of Tim AustinSeparation profile, isoperimetry, growth and compressionCompression of uniform embeddings into Hilbert space.On the dimension growth of groups.On the stabilizers of finite sets of numbers in the R. Thompson group $F$Amenable groups with very poor compression into Lebesgue spacesSpeed of random walks, isoperimetry and compression of finitely generated groupsStrong pure infiniteness of crossed productsThe Liouville property and Hilbertian compressionHilbert space compression under direct limits and certain group extensionsAsymptotic dimension and uniform embeddings.One-way permutations, computational asymmetry and distortion.Quantitative property A, Poincaré inequalities, \(L^p\)-compression and \(L^p\)-distortion for metric measure spacesUniversal diagram groups with identical Poincaré series.\(L_p\) compression, traveling salesmen, and stable walks.Compression bounds for wreath productsOn properties not inherited by monoids from their Schützenberger groups.On the conjugacy growth functions of groups.The wreath product of $\mathbb {Z}$ with $\mathbb {Z}$ has Hilbert compression exponent $\frac {2}{3}$Embeddings into Thompson's groups from quasi-median geometryProperty A and affine buildingsEQUIVARIANT COMPRESSION OF CERTAIN DIRECT LIMIT GROUPS AND AMALGAMATED FREE PRODUCTSMetric behaviour of the Magnus embedding.Diagram groups and directed 2-complexes: homotopy and homology.







This page was built for publication: Metrics on diagram groups and uniform embeddings in a Hilbert space.