Generalised Baumslag–Solitar groups and hierarchically hyperbolic groups

Button, Jack O¹

¹Selwyn College, University of Cambridge, Cambridge, United Kingdom

Algebraic and Geometric Topology, Tome 25 (2025) no. 4, pp. 2253-2279

Résumé

We look at isometric actions on arbitrary hyperbolic spaces of generalised Baumslag–Solitar groups of any rank (the rank of the free abelian vertex and edge subgroups). It is known that being a hierarchically hyperbolic group is not a quasiisometric invariant. We show that virtually being a hierarchically hyperbolic group is not invariant under quasiisometry either, and nor is property (QT).

Détail

DOI : 10.2140/agt.2025.25.2253

Keywords: generalised Baumslag–Solitar group, quasiisometry

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