The Cohomology of SL(3, Z[1/2])

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Abstract

We compute the cohomology of SL(3, Z[1/2]) with coefficients in the prime fields and in the integers. On the way we obtain the cohomology of certain mod-2 congruence subgroups of SL(3,Z) with coefficients in Fp for p > 2. Finally we compute the cohomology of GL(3, Z[1/2]).

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