Commensurated hyperbolic subgroups
- Resource Type
- Working Paper
- Authors
- Lazarovich, Nir; Margolis, Alex; Mj, Mahan
- Source
- Subject
- Mathematics - Group Theory
Mathematics - Geometric Topology
20F65, 20F67
- Language
We show that if H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G, then H is virtually a free product of hyperbolic surface groups and free groups. We prove that whenever a one-ended hyperbolic group H is a fiber of a non-trivial hyperbolic bundle then H virtually splits over a 2-ended subgroup.
Comment: v2: 25pgs no figures. Final version, to appear in Transactions AMS