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Projection complexes and quasimedian maps - MaRDI portal

Projection complexes and quasimedian maps

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Publication:6376358

DOI10.2140/AGT.2022.22.3277arXiv2108.13232MaRDI QIDQ6376358

Harry Petyt, Mark F. Hagen

Publication date: 30 August 2021

Abstract: We use the projection complex machinery of Bestvina--Bromberg--Fujiwara to study hierarchically hyperbolic groups. In particular, we show that if the group has a BBF colouring and its associated hyperbolic spaces are quasiisometric to trees, then the group is quasiisometric to a finite-dimensional CAT(0) cube complex. We deduce various properties, including the Helly property for hierarchically quasiconvex subsets.





Mathematics Subject Classification ID

Geometric group theory (20F65) Hyperbolic groups and nonpositively curved groups (20F67)








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