Finiteness properties of certain arithmetic groups in the function field case
- Cite this article as:
- Abels, H. Israel J. Math. (1991) 76: 113. doi:10.1007/BF02782847
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It is proved that the finiteness length of Γ=SLn(ℱq[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.