Simultaneous construction of hyperbolic isometries
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.05579
- arXiv:
- arXiv:1609.05579
- Bibcode:
- 2016arXiv160905579C
- Keywords:
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- Mathematics - Group Theory;
- 20F65;
- 20E36
- E-Print:
- 18 pages