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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.GR2022★ 3 cited
Trees of hyperbolic spaces
Michael Kapovich, Pranab Sardar
We give an alternative proof of the Bestvina--Feighn combination theorem for trees hyperbolic spaces and describe uniform quasigeodesics in such spaces. As one of the applications,…
math.GR2021
Research announcement: A combination theorem for acylindrical complexes of hyperbolic groups and Cannon-Thurston maps
Pranab Sardar, Ravi Tomar
This is an announcement of some of the results obtained as a part of the second author's Ph.D. thesis. In the first part, we prove that the fundamental group of an acylindrical com…