We explicate a number of notions of algebraic laminations existing in the literature, particularly in the context of an exact sequence
of hyperbolic groups. These laminations arise in different contexts: existence of Cannon–Thurston maps; closed geodesics exiting ends of manifolds; dual to actions on –trees.
We use the relationship between these laminations to prove quasiconvexity results for finitely generated infinite-index subgroups of , the normal subgroup in the exact sequence above.
"Algebraic ending laminations and quasiconvexity." Algebr. Geom. Topol. 18 (4) 1883 - 1916, 2018. https://doi.org/10.2140/agt.2018.18.1883