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Finiteness properties of certain arithmetic groups in the function field case

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Abstract

It is proved that the finiteness length of Γ=SL n (ℱ q [t]) isn−2 ifn≥2 andq≥2n−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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  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 8640, D-4800, Bielefeld, Germany

    Herbert Abels

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  1. Herbert Abels
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Abels, H. Finiteness properties of certain arithmetic groups in the function field case. Israel J. Math. 76, 113–128 (1991). https://doi.org/10.1007/BF02782847

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  • DOI: https://doi.org/10.1007/BF02782847

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