Finiteness Properties of Certain Arithmetic Groups in the Function-Field Case
It is proved that the finiteness length of GAMMA = SL(n)(F(q)[t]) is n - 2 if n greater-than-or-equal-to 2 and q greater-than-or-equal-to 2n-2. The proof consists in studying the homotopy type of a certain GAMMA-invariant filtration of an appropriate Bruhat-Tits building on which GAMMA acts.
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113-128
Magnes Pr.