Quelques calculs de la cohomologie de GLN(Z) et de la K-theorie de Z
Abstract
For N=5 and N=6, we compute the Voronoi cell complex attached to real N-dimensional quadratic forms, and we obtain the homology of GLN(Z) with trivial coefficients, up to small primes. We also prove that K5(Z) = Z and K6(Z) has only 3-torsion.
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