Hyperbolic extensions of free groups from atoroidal ping-pong
Group Theory
2019-05-29 v3 Geometric Topology
Abstract
We prove that all atoroidal automorphisms of act on the space of projectivized geodesic currents with generalized north-south dynamics. As an application, we produce new examples of non virtually cyclic, free and purely atoroidal subgroups of such that the corresponding free group extension is hyperbolic. Moreover, these subgroups are not necessarily convex cocompact.
Keywords
Cite
@article{arxiv.1711.07923,
title = {Hyperbolic extensions of free groups from atoroidal ping-pong},
author = {Caglar Uyanik},
journal= {arXiv preprint arXiv:1711.07923},
year = {2019}
}
Comments
v3: 17pp, 1 figure, minor corrections and clarifications following the referee's comments