arXiv Analytics

Sign in

arXiv:math/0702749 [math.GR]AbstractReferencesReviewsResources

Actions of certain arithmetic groups on Gromov hyperbolic spaces

Jason Fox Manning

Published 2007-02-25, updated 2008-07-18Version 3

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.

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
Categories: math.GR, math.GT
Related articles: Most relevant | Search more
arXiv:1001.1720 [math.GR] (Published 2010-01-11)
The limit set of subgroups of arithmetic groups in $PSL(2,C)^q \times PSL(2,R)^r$
arXiv:math/0408299 [math.GR] (Published 2004-08-22)
Finiteness properties of arithmetic groups over function fields
arXiv:1510.07156 [math.GR] (Published 2015-10-24)
Existence and non-existence of bounded packing in CAT(0) spaces and Gromov hyperbolic spaces

Links

Toolbox