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Finiteness properties of certain arithmetic groups in the function field case |
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| Authors: | Herbert Abels |
| Institution: | 1. Fakult?t für Mathematik, Universit?t Bielefeld, Postfach 8640, D-4800, Bielefeld, Germany |
| Abstract: | It is proved that the finiteness length of Γ=SL n (ℱ q t]) isn−2 ifn≥2 andq≥2 n−2. The proof consists in studying the homotopy type of a certain Γ-invariant filtration of an appropriate Bruhat-Tits building on which Γ acts. |
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