Asymptotic invariants of lattices in locally compact groups

The aim of this work is to understand some of the asymptotic properties of sequences of lattices in a fixed locally compact group. In particular we will study the asymptotic growth of the Betti numbers of the lattices renormalized by the covolume and the rank gradient, the minimal number of generato...

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Bibliographic Details
Main Author: Carderi, Alessandro
Format: Article
Language:English
Published: Académie des sciences 2023-01-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.417/