Optimal higher-dimensional Dehn functions for some CAT(0) lattices.

DOI10.4171/GGD/233zbMath1343.20046arXiv1205.4923MaRDI QIDQ399420

Enrico Leuzinger

Publication date: 19 August 2014

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.4923

zbMATH Keywords

symmetric spacesisoperimetric inequalitieslattices\(S\)-arithmetic groupsEuclidean buildingsfilling functionshigher-dimensional Dehn functions

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30) Global Riemannian geometry, including pinching (53C20) Asymptotic properties of groups (20F69) Differential geometry of symmetric spaces (53C35) Hyperbolic groups and nonpositively curved groups (20F67) Groups with a (BN)-pair; buildings (20E42)

Related Items (7)

Isoperimetry of nilpotent groups ⋮ Characterizations of higher rank hyperbolicity ⋮ The distortion dimension of \(\mathbb Q\)-rank 1 lattices ⋮ Filling invariants of stratified nilpotent Lie groups ⋮ Filling functions of arithmetic groups ⋮ Combinatorial higher dimensional isoperimetry and divergence ⋮ Higher rank hyperbolicity

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