Actions of certain arithmetic groups on Gromov hyperbolic spaces

Details Actions of certain arithmetic groups on Gromov hyperbolic spaces Actions of certain arithmetic groups on Gromov hyperbolic spaces

2007-02-25

arxiv.org/abs/math/0702749v3

Mathematics

Group Theory

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 s

Scientific paper

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.

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