Title:  Congruence subgroups and twisted cohomology of SL_n(F[t]) II:
Finite fields and number fields
Author:  Kevin P. Knudson, Wayne State University 

This is a continuation of a previous paper.  Let K be the subgroup of
SL_n(F[t]) consisting of matrices congruent to I mod t.  In part I,
we conjectured that H_1(K) is the adjoint representation provided
n is at least 3 and F is a finite field.  In this paper, we prove this
not only for finite fields, but also for number fields.  Applications
to the cohomology of SL_n(F[t]) with coefficients in irreducible
SL_n(F)-modules are given.  We also study the analogous question for
SL_n(F[t,t^{-1}]).

Status:  preprint