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math.GT2025
Embeddings of trees of hyperbolic metric spaces and Cannon--Thurston maps
Rakesh Halder, Pranab Sardar
Given a tree of hyperbolic metric spaces a la Bestvina--Feighn (\cite{BF}), and a hyperbolic subspace of with an induced tree of hyperbolic spaces structure over…
math.GR2025
On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups
Rakesh Halder, Pranab Sardar
In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich,…
math.GT2025
Landing rays and ray Cannon-Thurston maps
Rakesh Halder, Mahan Mj, Pranab Sardar
In this paper, we describe a procedure to construct pairs of hyperbolic groups with the following properties. 1) Every geodesic ray in converges to a point $ξ_γ\in \p…