3 papers
math.GT2026
Quasiconformal Maps between Bowditch Boundaries of Relatively Hyperbolic Groups
Rana Sardar
Classifying finitely generated groups up to quasi-isometry is a central problem in geometric group theory. In the context of hyperbolic and relatively hyperbolic groups, one of the…
math.GT2026
A Characterization of Relative Hyperbolicity via Morse and Contracting Boundaries
Vyshnav PT, Pranab Sardar, Rana Sardar
We prove the following boundary-theoretic characterization of relatively hyperbolic groups. Let be a finitely generated group with a finite collection of finitely…
math.GT2026
Maps between Boundaries of Relatively Hyperbolic Groups
Abhijit Pal, Rana Sardar
F. Paulin proved that if the Gromov boundaries of two hyperbolic groups are quasi-Mobius equivalent, then the groups themselves are quasi-isometric. The goal of this article is to…