Lattices in a product of trees, hierarchically hyperbolic groups, and virtual torsion-freeness

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

8 pages, to appear in Bulletin of the London Mathematical Society

References in corpus (3)

• Coarse injectivity, hierarchical hyperbolicity, and semihyperbolicity
• Graphs and complexes of lattices
• Hierarchically hyperbolic groups and uniform exponential growth

Cited by in corpus (3)

• Commensurating HNN-extensions: hierarchical hyperbolicity and biautomaticity
• Incommensurable lattices in Baumslag-Solitar complexes
• A note on the rational homological dimension of lattices in positive characteristic