On unstable cohomology classes of SLn(Z)

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RESUMO

From algebraic K-theory, we show that there exists a spectral sequence that has real cohomology of SLn(Z) as its E1-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 SLn(Z).

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