Commensurated hyperbolic subgroups

Author:

Lazarovich Nir,Margolis Alex,Mj Mahan

Abstract

We show that if H H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G G , then H H is virtually a free product of hyperbolic surface groups and free groups. We prove that whenever a one-ended hyperbolic group H H is a fiber of a non-trivial hyperbolic bundle then H H virtually splits over a 2-ended subgroup.

Funder

Israel Science Foundation

Publisher

American Mathematical Society (AMS)

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