English

Actions of certain arithmetic groups on Gromov hyperbolic spaces

Group Theory 2014-10-01 v3 Geometric Topology

Abstract

We study the variety of actions of a fixed (Chevalley) group on arbitrary geodesic, Gromov hyperbolic spaces. In high rank we obtain a complete classification. In rank one, we obtain some partial results and give a conjectural picture.

Keywords

Cite

@article{arxiv.math/0702749,
  title  = {Actions of certain arithmetic groups on Gromov hyperbolic spaces},
  author = {Jason Fox Manning},
  journal= {arXiv preprint arXiv:math/0702749},
  year   = {2014}
}

Comments

v1: 23 pages, 4 figures. v2: 24 pages, 4 figures. Fixed a bad typo in Claim 3.3 and made some other small changes. v3: A few small clarifications. To appear in AGT