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math.GT2024
Drilling hyperbolic groups
Daniel Groves, Peter Haïssinsky, Jason F. Manning +3
Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…
math.GT2016
Boundaries of Kleinian groups
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe…