Measure-scaling quasi-isometries

DOI10.1007/s10711-022-00695-6OpenAlexW3159992107MaRDI QIDQ2133858

Anthony Genevois, Romain Tessera

Publication date: 5 May 2022

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.04883

zbMATH Keywords

wreath productsquasi-isometric classificationlamplighter groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Asymptotic properties of groups (20F69)

Cites Work

• Metric geometry of locally compact groups
• Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups.
• Large scale Sobolev inequalities on metric measure spaces and applications
• Separated nets in Euclidean space and Jacobians of biLipschitz maps
• Lipschitz maps and nets in Euclidean space
• Homogeneous trees are bilipschitz equivalent
• Coarse differentiation of quasi-isometries. II: Rigidity for Sol and lamplighter groups
• Amenability, bi-Lipschitz equivalence, and the von Neumann conjecture
• Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups.
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• On the commability and quasi-isometry classification of focal groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Measure-scaling quasi-isometries