Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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D. Groves - J. F. Lafont - J. F. Manning - L. Ruffoni

Relative cubulation of relative strict hyperbolization

created by ruffoni on 27 Jul 2023



Inserted: 27 jul 2023
Last Updated: 27 jul 2023

Year: 2023

ArXiv: 2304.14946 PDF


We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0) cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special. We include some applications to the theory of manifolds, such as the construction of new non-positively curved Riemannian manifolds with residually finite fundamental group, and the existence of non-triangulable aspherical manifolds with virtually special fundamental group.

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