On unstable cohomology classes of SL(Z).
From algebraic K-theory, we show that there exists a spectral sequence that has real cohomology of SL(n)(Z) as its E(1)-terms and converges to the tensor product of a polynomial algebra and an exterior algebra. On the basis of this spectral sequence, we discovered several families of real unstable cohomology classes of SL(n)(Z).
Department of Mathematics, Yale University, P.O. Box 2155, Yale Station, New Haven, Connecticut 06520.
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