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arxiv: math/0702749 · v3 · pith:BDKOPF6Pnew · submitted 2007-02-25 · 🧮 math.GR · math.GT

Actions of certain arithmetic groups on Gromov hyperbolic spaces

classification 🧮 math.GR math.GT
keywords actionsgromovhyperbolicobtainrankspacesarbitraryarithmetic
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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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