Lattices in a product of trees, hierarchically hyperbolic groups, and virtual torsion-freeness
arXiv:2105.02847 · doi:10.1112/blms.12637
Abstract
We construct cocompact lattices in a product of trees which are not virtually torsion-free. This gives the first examples of hierarchically hyperbolic groups which are not virtually torsion-free
arXiv comment8 pages, to appear in Bulletin of the London Mathematical Society
References in corpus (11)
- Hierarchically hyperbolic spaces I: curve complexes for cubical groups
- Simplicity and superrigidity of twin building lattices
- Isometry groups of non-positively curved spaces: structure theory
- Hierarchically hyperbolic spaces II: Combination theorems and the distance formula
- Lattices acting on right-angled buildings
- Asymptotic dimension and small-cancellation for hierarchically hyperbolic spaces and groups
- Commensurating HNN-extensions: non-positive curvature and biautomaticity
- Coarse injectivity, hierarchical hyperbolicity, and semihyperbolicity
- New simple lattices in products of trees and their projections
- Graphs and complexes of lattices
- Hierarchically hyperbolic groups and uniform exponential growth