Showing 2024Show all
3 papers · 1 filter
math.GR2024
Regularity of quasigeodesics characterises hyperbolicity
Sam Hughes, Patrick S. Nairne, Davide Spriano
We characterise hyperbolic groups in terms of quasigeodesics in the Cayley graph forming regular languages. We also obtain a quantitative characterisation of hyperbolicity of geode…
math.MG2024
Hyperbolic models for CAT(0) spaces
Harry Petyt, Davide Spriano, Abdul Zalloum
We introduce two new tools for studying CAT(0) spaces: \emph{curtains}, versions of cubical hyperplanes; and the \emph{curtain model}, a counterpart of the curve graph. These tools…
math.GR2024
Separability in Morse local-to-global groups
Lawk Mineh, Davide Spriano
We show that in a Morse local-to-global group where stable subgroups are separable, the product of any stable subgroups is separable. As an application, we show that the product of…