Simultaneous construction of hyperbolic isometries
Group Theory
2018-03-16 v2
Abstract
Given isometric actions by a group G on finitely many \delta-hyperbolic metric spaces, we provide a sufficient condition that guarantees the existence of a single element in G that is hyperbolic for each action. As an application we prove a conjecture of Handel and Mosher regarding relatively fully irreducible subgroups and elements in the outer automorphism group of a free group.
Cite
@article{arxiv.1609.05579,
title = {Simultaneous construction of hyperbolic isometries},
author = {Matt Clay and Caglar Uyanik},
journal= {arXiv preprint arXiv:1609.05579},
year = {2018}
}
Comments
18 pages; v2: slight strengthening of main theorem, incorporated comments from referee, to appear in Pacific Journal of Mathematics